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Chapter 3: Q. 271 (page 301)

The length of a rectangle is three meters less than twice the width. The perimeter of the rectangle is 36 meters. Find the dimensions of the rectangle.

Short Answer

Expert verified

The width is7metersand length is11meters.

Step by step solution

01

Step 1. Given information

The length of a rectangle is three meters less than twice the width

The perimeter of the rectangle is P=36meters

02

Step 2. Finding length and width of a rectangle

Let W be the width.Because length is 3 meters less than twice the width,so

Length 2脳width-3

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

36=2(2W-3)+2W[P=36]36=4W-6+2W[distribute2]36+6=6W42=6W426=6W6[dividebothsidesby6]W=7

So, width is7metersand length is2脳7-3=11meters

03

Step 3. Checking

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

36=2(11)+2(7)36=22+1436=36[true]

Therefore, width is7meters and length is11meters

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