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Measurement
Lesson 8
Measuring and Calculating
Objectives/Vocab/Tips > Examples 1 | 2 | 3 | 4 | 5 > Practice: 1 | 2 | 3 | 4 | 5 > Reflection

Example 3:

The owners of a sports arena wish to repave its rectangular parking lot.

  • If the parking lot is 147 yards long and 210 yards wide how many square feet of surface must they repave?
  1. 30870 sq. yd
  2. 3430 sq. ft
  3. 277,830 sq. ft
  4. 285,421 sq. ft

The answer to this problem is C, 277,830 sq. feet. Let's go through the steps of how to solve this one.

Make sure you understand the problem and what is being asked of you to solve. You are needing to find the area of a parking lot to repave. Your answer needs to be in square feet even though you have been given your measurements in yards.

You know the parking lot is 147 yards long and 210 yards wide.

To solve this problem, you will need to find the area of the parking lot and then convert your answer to square feet.

To get an estimation of what the answer could be close to, you would multiply 100 yards by 200 yards and get 20000. Then to convert the answer to square feet you need to multiply 200,000 by 9. Your estimate would be about 180,000 sq. ft.

Time to solve the problem. Begin with your formula to find the area of a rectangle.

A = l x w
A = 147 x 210
A = 30870 sq. yards

Next step is to convert your answer from square yards to square feet, by multiplying your answer by 9.

30870 x 9
277,830 sq. ft

Finally, look at your answer and see if it is one of your choices and it is. The final answer for this problem is C, 277,830 sq. ft.

 

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