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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 

 Apr 27, 2021
 #1
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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
 Apr 27, 2021
 #2
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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.  

.

 Apr 27, 2021
edited by Guest  Apr 27, 2021

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