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Chapter 2: Q. 221 (page 146)

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

Short Answer

Expert verified

The length of the rectangle is 11 meters and the width is 7 meters,

Step by step solution

01

Step 1. Given Information 

  • The perimeter of the rectangle is 36 meters.
  • The length of the rectangle is 3 meters less than two times the width of the rectangle.
02

Step 2. Define the Variables

  • Assume that the width of the rectangle is w.
  • So, the length of the rectangle will be 2w-3meters.
03

Step 3. Use the Perimeter Formula

  • Substitute P=36,l=2w-3into the formula of the perimeter of a rectangle, P=2l+2wand solve to find the width.

36=22w-3+2w36=6w-66w=42w=7

04

Step 4. Find the Length

  • Substitute w=7into l=2w-3and solve to find the length of the rectangle.

l=2脳7-3=14-3=11

  • So, the length of the rectangle is 11 meters.
05

Step 5. Conclusion

The length of the rectangle is 11 meters and the width is 7 meters.

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