Question

A box stall is a square or rectangular enclosure that can house one or more animals. 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 = √ A. 1/20,250n B. n/20,250 C. 20,250n D. 20,250/n. If each box stall is 9 feet long on a side, the stable can house A.205 B.225 C. 250 D.265 horses.

Answer 1

The equation for the side length is x=C. 20,250n and stable can house is:C. 250 horses.

Side length

Equation for the side length= x=20,250n

Stable house number of horses:

Let n represent the total number of box stall

Hence:

Total area  = 9²n

Total area= 81n ft²

So,

81n = 20250

Divide both side by 81

n = 20250/81

n = 250 horses

Therefore the equation for the side length is x=C. 20,250n and stable can house is:C. 250 horses.

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