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Chapter 3: Q. 269 (page 376)

The perimeter of a rectangle is 150 feet. The length of the rectangle is twice the width. Find the length and width of the rectangle.

Short Answer

Expert verified

The length is 50feetand width is 25feet

Step by step solution

01

Step 1. Given information

Perimeter of a rectangle P=150feet

Length of the rectangle twice the width

02

Step 2.  Finding length and width of a rectangle

Let W be the width.Because length is twice the width

Length =2(width)

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

150=2(2W)+2W[P=150]150=4W+2W150=6W1506=6W6W=25

So,the width is 25feet and length is2(25)=50 feet

03

Step 3. Checking

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

role="math" localid="1647158782943" 150=2(50)+2(25)150=100+50150=150

Therefore,the length is 50feet and width is 25feet

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