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Chapter 3: Q. 267 (page 376)

The width of the rectangle is0.7meters less than the length. The perimeter of a rectangle is 52.6meters. Find the dimensions of the rectangle.

Short Answer

Expert verified

The length is 13.5 meters and width is 12.8meters.

Step by step solution

01

Step 1. Given information

Width of the rectangle 'w'=0.7metersless than the length

Perimeter of a rectangleP=56.2meters

02

Step 2. Finding length and width of a rectangle

Let L be the length.Because width is 7 feet less than the length,so

Width=Length-0.7

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

52.6=2L+2(L-0.7)[P=52.6]52.6=2L+2L-1.4[distribute2]4L=52.6+1.44L=544L4=544[dividebothsidesby4]L=13.5

So,the length is 13.5 meters and width is 13.5-0.7=12.8meters

03

Step 3. Checking 

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

52.6=2(13.5)+2(12.8)52.6=27+25.652.6=52.6[true]

Therefore,the length is 13.5meters and width is 12.8meters.

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