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Chapter 2: Q. 2.73 (page 141)

The perimeter of a rectangular swimming pool is 200 feet. The length is 40 feet more than the width. Find the length and width.

Short Answer

Expert verified
  • The length of swimming pool is 70 feet
  • The width of swimming pool is 30 feet.

Step by step solution

01

Step 1. Given Information

  • The perimeter of a rectangular swimming pool is 200 feet.
  • The length is 40 feet more than the width.

We have to find the length and width of a rectangular swimming pool .

02

Step 2. Name.

Choose a variable to represent it.

Let w = width.

The length is 40 feet more than the width.

w + 40 = length

Draw the figure and label it with the

given information.

03

Step 3. Translate.

Write the appropriate formula and

substitute.

P=2L+2W200=2(w+40)+2w

04

Step 4. Solve the equation.200=2w+80+2w

200=4w+80120=4w30=w(Thewidthoftheswimmingpool)w+40(Thelengthoftheswimmingpool)30+40=70

05

Step 5. Check

P=2L+2W200=2脳70+2脳30200=140+60200=200verified

The length of swimming pool is 70 feet and the width is 30 feet.

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