The length of a rectangle is twice it’s width. the perimeter is 102 inches. write an equation and find the length and width

Answers:

Equation is 2*(2*W+W) = 102

Width is 17

Length is 34

Explanation:

L = 2*W because the length is twice the width

2*(L+W) = P is the perimeter formula

Replace P with the given perimeter (102). Also replace L with 2*W. Then isolate W

2*(L+W) = P

2*(2*W+W) = 102

2*(3W) = 102

6W = 102

6W/6 = 102/6

W = 17

If the width is W = 17, then the length is

L = 2*W = 2*17 = 34

So the width and length of this rectangle is 17 by 34

Check:

P = 2*(L+W)

P = 2*(34+17)

P = 2*51

P = 102

Answer is confirmed

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