Derek wants to construct a square box stall for each horse that is to be housed in a stable. He wants all of the box stalls to have the same length on a side. Derek has a total area of 20,250 square feet in which to construct the box stalls. The equation for the side length, x, of a box stall in terms of the number of horses, n, the stable wants to house is x = √. If each box stall is 9 feet long on a side, the stable can house horses.

Question

Kasey Barnes

Mathematics

22 August, 10:54

Derek wants to construct a square box stall for each horse that is to be housed in a stable. He wants all of the box stalls to have the same length on a side. Derek has a total area of 20,250 square feet in which to construct the box stalls. The equation for the side length, x, of a box stall in terms of the number of horses, n, the stable wants to house is x = √. If each box stall is 9 feet long on a side, the stable can house horses.

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Aurora · Answer 1

The total area of the stable is 20,250 sq. ft.

Let n = total number of box stalls.

Each box stall is a square of length 9 ft.

Total area = 9^2n = 81n ft².

Therefore

81n = 20250

n = 20250/81 = 250

Answer: 250 horses.