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Chapter 3: Q. 276 (page 376)

A rectangular rug has perimeter 240 inches. The length is 12 inches more than twice the width. Find the length and width of the rug.

Short Answer

Expert verified

The length is84feetand width is36feet

Step by step solution

01

Step 1. Given information

A rectangular rug has perimeter P=240inches

The length is 12 inches more than twice the width.

02

Step 2. Finding length and width of a rectangle

Let P be the perimeter,x be the width and 2x+12 be the length of rectangle ABCD

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

P=2(2x+12)+2x240=2(2x+12)+2x240=4x+24+2x240=6x+24240-24=6x6x=2166x6=2166x=362x+12=2脳36+12=72+12=84

So,the length is 84feet and width is36feet

03

Step 3. Checking

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

role="math" localid="1647169069667" 240=2(84)+2(36)240=168+72240=240[true]

Therefore, the length is 84feetand width is36feet

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