Question

A contractor needed a small workshop. He found a preengineered steel building advertised for $12,102. If the building is a 24-ft by 24-ft square, what is the cost of the building per square foot?

A) $12.10
B) $25.25
C) $14.50
D) $18.75

Answer 1

The cost of the preengineered steel building per square foot is obtained by dividing the total cost of $12,102 by the total area in square feet (576 sq ft), resulting in a cost per square foot of $21.00. This value does not match any of the provided options, indicating a potential error in the question or options.

Step-by-step explanation:

To find the cost per square foot of the preengineered steel building that the contractor wants to buy, we need to divide the total cost of the building by the total square footage. We are given the dimensions of the building as a 24-ft by 24-ft square. To obtain the total square footage, we multiply the length and width:

• Total square footage = 24 ft × 24 ft = 576 sq ft

Now we divide the total cost by the total square footage to find the cost per square foot:

• Cost per square foot = $12,102 / 576 sq ft

Using a calculator, we find:

• Cost per square foot = $21.00

So, the cost of the building per square foot is $21.00, which is not one of the options listed (A, B, C, or D) in the question. There might be a mistake in the options provided or in the question itself. Based on the given information, the correct cost per square foot is $21.00.