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Chapter 3: Q. 3.92 (page 371)

The width of a rectangle is six less than twice the length. The perimeter is 18. Find the length and width.

Short Answer

Expert verified

The length is5and width is4.

Step by step solution

01

Step 1. Given information

The width of a rectangle is six less than twice the length. The perimeter is 18

02

Step 2. Finding unknown

Let the length of rectangle be x

Therefore the width is b=2x-6

According to question,

role="math" localid="1647145974094" 2(l+b)=182(x+2x-6)=182(3x-6)=186x-12=186x=30x=5=l

And width is

b=2x-6=2脳5-6=10-6=4

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