The length of a rectangle is 11 feet less than twice its width. Its perimeter is 26 feet. Find the length and width of the rectangle

Question

write the correct equati for each and solve

Answer 1

Hi Daniel, let l represent the length of the rectangle, and w represent the width. The equation for the perimeter of a rectangle is: p = 2l + 2w

 

Given:

 

p = 26 feet

 

l = 2w - 11

 

Substitute:

 

2 * (2w - 11) + 2w = 26

 

4w - 22 + 2w = 26

 

Combine terms:

 

6w = 48

 

w = 8

 

The width is 8 feet.

 

Length:

 

l = 2w - 11

 

l = 2 * 8 - 11

 

l = 16 - 11

 

l = 5

 

The length is 5 feet.

 

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