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Chapter 3: Q. 268 (page 376)

The length of the rectangle is 1.1meters less than the width. The perimeter of a rectangle is 49.4meters. Find the dimensions of the rectangle.

Short Answer

Expert verified

The length is 11.8 meters and width is12.9 meters

Step by step solution

01

Step 1. Given information

Length of the rectangle L=1.1metersless than the width

Perimeter of rectangleP=49.4meters

02

Step 2. Finding length and width of a rectangle

Let L be the length.Because lengthis 1.1feet less than the width,so

Length=width-1.1

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

role="math" localid="1647157663982" 49.4=2W-2.2+2W[distribute2]49.4=4W-2.24W=49.4+2.24W=51.64W4=51.64[dividebothsidesby4]W=12.9

So,the width is 12.9meters and length is12.9-1.1=11.8 meters

03

Step 3. Checking

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

49.4=2(11.8)+2(12.9)49.4=23.6+25.849.4=49.4[true]

Therefore,the length is 11.8 meters and width is 12.9meters

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