Question

Exam

The blueprint's scale is
1 inch : 9 feet. If the gym's
area is 52 square inches on the
blueprint, what is the actual
square footage of the gym?
The area of the actual gym
is_square feet.

Answer 1

4212 square feet.

Explanation:

If the blueprint's scale is 1 inch : 9 feet.

Square both sides

(1in)² = (9ft)²

1in² = 81ft²

Given the gym's area as 52 square inches, hence;

52in² = x

Divide both expressions

1/52 = 81/x

x = 52 * 81

x = 4212ft²

Hence the area of the actual gym is 4212 square feet.