Question

The swimming pool at Spring Valley High School is a rectangle with a width of 60 meters and a length of 30 meters. Around the perimeter of the pool is a tiled floor that extends w meters from the pool on all sides. Which expression represents the area of the tiled floor? ANSWER CHOICES BELOW!

Answer 1

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D.

Explanation:

The area of the tiled floor is equal to the area of the larger rectangle minus the area of the pool. The larger rectangle has a width of 60 + 2w meters and a length of 30 + 2w meters, while the pool has a width of 60 meters and a length of 30 meters.

Therefore, the area of the tiled floor is:

(60 + 2w) x (30 + 2w) - 60 x 30

= (1800 + 120w + 60w + 4w^2) - 1800

= 4w^2 + 180w

Therefore, the correct answer is (D) (4w^2 + 180w) m^2.