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Chapter 3: Q. 263 (page 376)

The length of a rectangle is nine inches more than the width. The perimeter is 46 inches. Find the length and the width.

Short Answer

Expert verified

The length of the rectangle is 16 inches, width is 7 inches.

Step by step solution

01

Step1. Given information 

The perimeter of the rectangle is 46 inches

length = 9 + width

02

Step2. Calculations 

Assume the width of the given rectangle is w

so the length of the rectangle is: L= W+9

we know the perimeter of the rectangle is: 2(length + width)

According to the question

Perimeter=2(length+width)46=2(L+W)46=2(9+W+W)23=9+2wW=7inchesL=W+9L=7+9L=16inches

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