Simple question, winner gets a prize! A pool has a walkway around it that is a width of 4 1/2 feet all the way around! The length is 100 feet and the side length is 30 feet, what is the area of the walkway? Work must be shown if there is more than one answer. :)

 OK two different answers.

If the dimensions of the pool are 100 × 30, and the sidewalk is outside that, the area of the sidewalk is 1251 square feet.

If the outside dimensions of the sidewalk are 100 × 30, and the pool is inside that, the area of the sidewalk is 1089 square feet.

Step-by-step explanation:  Solution #1: Sidewalk outside 100×30 pool.

The sidewalk is 4 1/2 feet wide, so twice as wide all together.

The outside ends of the sidewalk are added to the pool dimensions.

100 + 9 = 109   30 + 9 = 39  

The overall area: Multiply 109 × 39 = 4251 ft²

Find the area of the pool 100 × 30 = 3000 ft²

Subtract the area of the pool from the overall area 3000 - 2451 = 1251

1251 square feet is the area of this sidewalk

Solution #2:  Pool inside 100×30 sidewalk.

The sidewalk is 4 1/2 ft wide so the pool will be 9 feet shorter in length and width,

100- 9 = 91  and  30 - 9 = 21    The area of this pool is  91 × 21 = 1911 ft²

The overall area is 100 × 30 = 3000 ft²

Subtract the pool's area from the overall area

3000 - 1911 = 1089

The area of this sidewalk is 1089 square feet

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