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Chapter 2: Q. 220 (page 146)

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

Short Answer

Expert verified

The length of the rectangle is 27 feet and the width is 9 feet.

Step by step solution

01

Step 1. Given Information 

  • The length of the rectangle is three times its width.
  • The perimeter of the rectangle is 72 feet.
02

Step 2. Define the variables

  • Let the width of the rectangle is wfeet.
  • So, its length will be 3wfeet.
03

Step 3. Use the formula of Perimeter

  • Use the formula of the perimeter of a rectangle, P=2w+2land substitute P=72,l=3winto the formula and solve for the unknown variable.

72=2w+23w72=2w+6w72=8ww=9

  • So, the width of the rectangle is 9 feet.
04

Step 4. Find the Length

  • Substitute w=9into l=3wand find the length.

l=3×9=27

  • So, the length of the rectangle is 27 feet.
05

Step 5. Conclusion

The length of the rectangle is 27 feet and the width is 9 feet.

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