a rectangle has a perimeter of 136 inches. the width, w, is 7 less than twice the length. what is the width of the rectangle.



Answer :

The width of the rectangle is 43 inches

Given,

Perimeter of the rectangle = 136 inches

Length of the rectangle = l

Width of the rectangle = 2l - 7

We have to find the width of the rectangle;

Here,

Perimeter of rectangle = 2 (length + width)

136 = 2 (l + 2l - 7)

136/2 = 3l - 7

68 = 3l - 7

68 + 7 = 3l

75 = 3l

l = 75/3

l = 25

Length of the rectangle = 25 inches

Width of the rectangle = 2l - 7 = 2 × 25 - 7 = 50 - 7 = 43 inches

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