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Chapter 3: Q. 270 (page 376)

The length of a rectangle is three times the width. The perimeter of the rectangle is 72 feet. Find the length and width of the rectangle.

Short Answer

Expert verified

The length is 27feet and width is9feet

Step by step solution

01

Step 1. Given information

The length of a rectangle is three times the width

The perimeter of the rectangle is =72feet

02

Step 2. Finding length and width of a rectangle

Let Wbe the width.Because length is three times the width

Length =3(width)

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

72=2(3W)+2W[P=72]72=6W+2W72=8W728=8W8W=9

So,width is9feet and length is3(9)=27feet

03

Step 3. Checking

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

72=2(27)+2(9)72=54+1872=72[true]

Therefore,the length is 27feetand width is9feet

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