The length of a rectangle is 1 1/4 times its width. Given that the perimeter of the rectangle is 180 cm, find the area of the rectangle
+40 We have w=width and l=length
so
l = 5/4 * w
2l + 2w = 180
solving for these two equations, we get l = 50 and w = 40
to find the area, you need to multiply l*w
so our answer is
| 2000 |
The length of a rectangle is 1 1/4 times its width. Given that the perimeter of the rectangle is 180 cm, find the area of the rectangle
Call the width of the rectangle w
Call the length of the rectangle 1.25w
In these terms, the perimeter of the rectangle is 2w + 2(1.25w) = 180
2w + 2.5w = 180
4.5w = 180
w = 180/4.5 = 40
We've found that the width is 40. The length is (1.25)(40) = 50
The area is the width times the length. A = (40)(50) = 2000 cm2
Since we were talking about centimeters, the answer is in square centimeters.
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