A rectangles perimeter and its area have the same numerical value. The width of the rectangle is 10. What is the length of the rectangle? (Answer as a decimal.)

Mathematics · High School · Mon Jan 18 2021

Answered on

Given :

Width = 10

According to question perimeter and its area have the same numerical value. 

So, 2(L + W) = L × W

2(L + 10) = L × 10

L + 10 = 10L/2

L + 10 = 5L

5L - L = 10

4L = 10

L = 10/4

L = 5/2 

L = 2.5

 

So, length of rectangle is 2.5

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