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Chapter 3: Q. 274 (page 376)

The perimeter of a rectangular atrium is 160 feet. The length is 16 feet more than the width. Find the length and width of the atrium.

Short Answer

Expert verified

the length is 48feet and width is32feet

Step by step solution

01

Step 1. Given information

The perimeter of a rectangular atrium P=160feet

The length is 16 feet more than the width.

02

Step 2. Finding length and width of a rectangle

Let P be the perimeter,x be the width and x+16be the length of rectangle ABCD

Now substitute the given values in the formula for perimeter P=2L+2W

160=2(x+16)+2x160=2x+32+2x160=4x+32160-32=4x128=4xx=1284x=32x+16=32+16=48

So,width is32feetand length islocalid="1655739891472" 48feet

03

Step 3. Checking

Check the solution by using the formula P=2L+2W

160=2(48)+2(32)160=96+64160=160[true]

Therefore,the length is 48feetand width is32feet

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