The two shapes have the same area. Work out the perimeter of the rectangle.
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1) Using the given length and width of the rectangle, find its area.
2) Then using the base and height of the triangle, find its area.
3) Since the areas are equal, set the expressions equal to each other, and solve for x.
4) Using the value of x you found, find the length and width of the rectangle and find its perimeter.
1) The area of the rectangle is A = LW
Area of Rectangle = (x + 2)x = x^2 + 2x
2) The area of the triangle is A = (1/2)bh
Area of Triangle = (1/2)(24)x = 12x
3) Set the areas equal and solve for x
x^2 + 2x = 12x
x^2 - 10x = 0
x(x - 10) = 0
x = 0 or x = 10
Since a width cannot be 0, we discard x = 0, and keep x = 10.
4) The length is x + 2 = 10 + 2 = 12
The width is x = 10
The perimeter is 2(L + W) = 2(10 + 2) = 2(22) = 44
The perimeter is 44 cm.
Related Questions
london buys 3 more packs of trading cards today. each pack has 8 cards. write a multiplication sentence to show how many cards landon buys today. then find how many cards landon has now.
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A road has a speed limit of 40 mi/h. Write an inequality that describes the legal speeds r for motor vehicles.
a r < 40
b r <_40
c r _> 40
d r > 40
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- thanks (: -
Two bicyclists are 180 miles apart when they start racing towards each other. If their speeds are 14 mph and 16 mph respectively, how long will it be before they are twenty miles apart?
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Answer:
5 1/3 hours
Step-by-step explanation:
Answer:
5 1/3 hours or 320 minutes
Step-by-step explanation:
A store buys a jacket for $20.00 and then sells it to customers for 80% more than that. What is the selling price of the jacket?
A.$16.00
B.$36.00
C.$24.00
D.$28.00
Please explain how you got the answer
Answers
First we calculate 80% of $20.
80% of $20 =
= 80% * $20
= 0.80 * $20
= $16
80% of $20 is $16.
That is the amount the store adds to the cost. This is called the markup.
Now we add the cost $20 and the markup $16.
$20 + $16 = $36
The selling price is $36
The selling price of the jacket is $36. so the correct option is B.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
Given that store buys a jacket for $20.00 and then sells it to customers for 80% more than that.
We need to add 80% of $20 to $20.
Therefore, First we calculate 80% of $20.
80% of $20
= 80% x $20
= 0.80 x $20
= $16
So 80% of $20 is $16.
This is the amount the store adds to the cost called as the markup.
Now we add the cost $20 and the markup $16.
$20 + $16 = $36
Thus The selling price is $36
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A baseball dropped from the roof of a tall building takes 5.23 second s to reach the ground. How tall is the building?
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s = s0 + v0*t + (1/2)at^2, where s0 is the original height, v0 is the original velocity, a is the acceleration, and t is the time.
Here, s becomes 0 (baseball is on the ground)
v0 is 0, since the initial speed of the ball was 0.
a is the acc'n due to gravity, and is -9.8 m per (sec)^2 in the metric sys.
t is known and is 5.23 sec
All that is left to find is s0, the original height (which is the building height).
0 = s0 + (0)(5.23 sec) + (1/2) (-9.8 m per sec^2)(5.23 sec)^2
-s0 = 0 - (4.9 m per sec^2) ( 27.35 sec^2)
So s0 = 134 meters (approx)
The building height was approx. 134 meters.
Max and Sheila are making orange juice. Max has mixed 15 cups of water with 4 cups of juice concentrate. Sheila has made her choose by mixing 8 cups water with 3 cups just concentrate.compare their ratios of juice concentrate to water using racial tables. State which beverage has a higher juice concentrate to water ratio.
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What is 67.50 with 5 percent sales tax
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elliot drove 202.8 miles and used 6.5 gallons of gasoline.How many miles did he travel per gallon of gasoline?
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202.8 = 2,028
6.5 = 65
So it will be easier for you to divide it then you add the decimals back in later.
If you solved it correctly you should have gotten 31.2.
Simplify the expression. w - .25w
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1w - 0.25w = 0.75w
Hope this helps!
hours worked / pay 2/$15.00 4/$30.00 6/$45.00 8/$60.00 A/p=7.50h B/ p=15h C/ p=h+15 D/h=7.50p
Answers
Divide $15 by 2 to get $7.50 per hour.
Divide each amount of pay by its hours, and all are $7.50 per hour.
The equation is $7.50 multiplied by the number of hours, or
p = 7.50h
Answer:
The answer is D. p=7.50h
What is 0.623 divided by 0.07
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the problem will then look like 623/70.
How many times does 70 divide into 62? None. Next, ask, how many times does 70 divide into 623? 7 times 9 is 63 (too large). 7 times 8 is 56 (OK).
So, 70 divides into 623 8 times, with a remainder of 63. bring down a zero and then divide 70 into 630.
And so on.
On calculator: 623/70 = 8.9
The solution to the division of 0.623 by 0.07 is;
8.9
We want to divide 0.623 by 0.07.
This is;
0.623/0.07
Now, to solve this easily, let's make use of multiplication property of equality where if we multiply the numerator and the denominator by the same number, we will still get the same answer.
Let's multiply numerator and denominator by 100 to get;
(0.623 × 100)/(0.07 × 100)
⇒ 62.3/7
Dividing this gives us a final answer of; 8.9
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If there are 5,280 feet in a mile, how many feet are in 2.6 miles?
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Hope this helps!
What is 20 tiles in 5 rows array
Answers
If you start with 20 tiles and arrange them in 5 rows, then you have (20/5),
or 4, tiles per row.
what is the flope line that is parallel of
[tex]y = 2x + 4[/tex]
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Parallel lines have the same slope, so any line that is parallel to y = 2x + 4 also has slope 2.
What is 6 1/6 as a Decimal Please!
Answers
Hope this helps:)
BRAINLIESTTTTT ASAP!
Answers
Explanation: If you were to calculate how much she earns per hour on Friday, (63/6), you would get 10.5 per hour which is greater than the amount she makes per hour on Saturday.
What is the 7.2222222222..... as a rational number?
Answers
The repeating decimal 7.2222222222... as a rational number is 7 2/9. The conversion involves setting the repeating decimal equal to x, scaling it by a power of 10, subtracting the original number, and then solving for x to find the equivalent fraction.
Explanation:The number 7.2222222222..., when expressed as a rational number, is the fraction 7 2/9. To convert a repeating decimal to a fraction, you can use the following steps:
Let x equal the repeating decimal, so x = 7.2222222222...Multiply x by a power of 10 that moves the decimal point to the right just before the repeating digits start. In this case, we use 10x to get 10x = 72.222222222...Subtract the original number (x) from this new number (10x). Doing this will get 10x - x = 72.222222222... - 7.222222222... = 65.Since 10x - x = 9x, we now have 9x = 65. Therefore, x = 65/9, which simplifies to 7 2/9.This process shows how to express the repeating decimal as a fraction and thereby convert it into a rational number.
Plz help!!
Estimate each quotient using compatible numbers write what you estimated with like my answer is 7 and this is what I used 280÷4
Estimate these quotient round the numbers
1. 5564÷91 3.explain how to
2. 5391÷25 estimate 498÷12
4.which is the closest estimate for 2130÷ 33
A.7 B.17 C.70 D.700
Answers
I know that 9 * 6 = 56
5564 rounds to 5600
91 rounds to 9
Since 56/9 = 6, then 5600/90 is the same as 560/9 = 60
The estimate is 60
2. 5391÷25
5391 sounds to 5400
25 is 1/4 of 100.
That means when you divide by 25, you can divide by 100 and multiply by 4.
5400/100 = 54
54 * 4 = 216
Estimate: 216
3. explain how to estimate 498÷12
48/12 = 4
498 is little more than 480, so 498/12 is little more than 40
4. which is the closest estimate for 2130÷ 33
A.7 B.17 C.70 D.700
2130/33
Round off the numerator and denominator to
2100/30
Reduce the fraction
210/3
Since I know that 21/3 = 7, then 210/3 = 70
Estimate: 70
crystal's mother kept a record of. crystal's. height at different ages. she recorded the information in a table. is the relationship between crystal's age and her height proportional? explain.
Answers
The relationship between Crystal's age and her height is determined by examining the ratios of age to height for different entries in the table. If the ratios are equal, then the relationship is proportional.
Explanation:To determine if the relationship is proportional, compare the ratios of Crystal's age to her height for different entries in the table. If the ratios are equal, then the relationship is proportional. If the ratios are not equal, then the relationship is not proportional.
For example, if Crystal's age is 10 and her height is 50 inches, the ratio would be 10/50 = 0.2. If Crystal's age is 20 and her height is 100 inches, the ratio would be 20/100 = 0.2. Since the ratios are equal, the relationship between Crystal's age and her height is proportional.
Hello I'm Vanessa and I'm 16, im recently taking Geometry online and I'm trying to find someone that is willing to help me out. Thanks
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4+5=9 write the doubles fact used to solve
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Charles will babysit for up to 4 hours and charges $7 per hour. Write a function in function notation for this situation.
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x = hour
7(x) is your function
thank you for Anlian for pointing it out.. there is 4 hours
so x = 4
plug in 4 in x. 7(4)
7 x 4 = 28
28 is your answer
hope this helps
If you mean by another way then is: X/7less than or equal to 4
well then is 7x=?
If the Alexanders completed the 735 mi. trip in 15 hr., what was their average rate of travel?
Answers
2 PART QUESTION
Ted likes to run long distances. He can run 20km in 95 minutes. He wants to know how many kilometers (k) he will go if he runs at the same pace for 285 minutes. What proportion could Ted use to model this situation?
A.) k/20= 95/285
B.) 285/95=k/20
Solve the proportion to determine how far Ted will run in 285 minutes?
Answers
He will run 60km in 285 minutes.
What is the distance between points
(9, −7)
and
(9, 4)
on a coordinate plane?
Answers
Hope this helped!
Final answer:
The distance between the points (9, -7) and (9, 4) is calculated by finding the absolute difference between the y-coordinates since the x-coordinates are the same. The distance is 11 units.
Explanation:
To calculate the distance between two points on a coordinate plane, you can use the distance formula, which is derived from the Pythagorean theorem. However, in this particular case, since the x-coordinates of the points (9, -7) and (9, 4) are the same, the distance is simply the absolute difference between the y-coordinates.
The formula to find the distance between two points (x1, y1) and (x2, y2) is:
d = √((x2 - x1)² + (y2 - y1)²)
So, substituting the known values:
d = √((9 - 9)² + (4 - (-7))²) = √(0 + 11²) = √121 = 11
Therefore, the distance between the points (9, -7) and (9, 4) on a coordinate plane is 11 units.
I need help with 2x+12=3x-31
Answers
The value of x in the given equation is 41.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
For example, 3x + 5 = 15, 9x+9 = 9, 3x+9 = 7, ax+by = z etc.
Based on the degree, equations can be classified into the following three types: Linear equation, Quadratic equation or Cubic equation
Given that, an equation 2x+12 = 3x-31
Solving for x,
2x+12 = 3x-31
Combining the like terms, by transposing,
3x-2x = 31+12
x = 41
Hence, the value of x in the given equation is 41.
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Javier is cooling a liquid in a science lab. The liquid starts at 85 degrees, and he cools it 3.5 degrees every minute for 12 minutes. Create a number sentence to model this scenario.
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T(x)= 85 - 3.5x
Where T(x) is equal to the temperature at any given point and x is the number of minutes (The values of x range from 0 - 12. Solving for these values,
T(0) = 85 - 3.5(0) = 85
T(1) = 85 - (3.5)(1) = 81.5
T(2) = 85 - (3.5)(2) = 78
The list will then be completed as,
85, 81.5, 85 up to 43.
32 is the sum of a number z and 9
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HELP ASAP
Angelica swims 14 3/7 hours per month. If she swims the same amount every month, how many hours does she swim in 6 months?
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What is the area of this polygon 15m 10m 8m 9m
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The provided data is insufficient to accurately calculate the area of the polygon. With an assumption that the shape is a rectangle and the lengths are 15m and 8m, the area would be 120 square meters.
Explanation:To calculate the area of a polygon, it's ideal to break down the polygon into simpler shapes like rectangles or triangles, for which we have well established formula for area. However, the information you've provided is inadequate to define a specific polygon shape like a rectangle or a square. Four sides could suggest a rectangle or a quadrilateral, but we don't know two essential properties: the arrangement of these sides and the measure of angles. For instance, if it was a rectangle, we'd look for pairs of equal lengths. If your shape is indeed a rectangle, and we assume that 15m and 8m are the length and width (or vice versa), we could calculate the area. For a rectangle, the area is calculated as length multiplied by width. In this case, it would be 15m*8m = 120 square meters.
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