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Chapter 3: Q. 440 (page 411)

The length of a rectangle is two feet more than five times the width. The perimeter is 40feet. Find the dimensions of the rectangle.

Short Answer

Expert verified

The length of the rectangle is17feet and width is3feet.

Step by step solution

01

Step 1. Given Information

Length of a rectangle is two feet more than five times the width.

Perimeter of the rectangle =40feet

02

Step 2. Finding the dimensions

Let the width of the reactangle be x.

Therefore, length =2+5x

We know, perimeter of the rectangle =2(length+width)

localid="1655808249195" 鈭�2(2+5x+x)=40鈬�2(2+6x)=40鈬�(2+6x)=402鈬�(2+6x)=20鈬�6x=20-2鈬�6x=18鈬�x=186鈬�x=3鈭�2+5x=2+5(3)鈬�(2+5x)=2+15鈬�(2+5x)=17

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