Question

The Smith’s want to build their dog a house similar to their own house. The front door of their house measures 3 1/2 feet by 8 feet.  If the scale factor from the actual house to the dog house is to be 1/6, what should the dimensions of the dog’s front door be? ( in inches)

Answer 1

7 x 16 inches.

Explanation:

Since your answer is in inches, first convert feet to inches by multiplying the value by 12.

(3 1/2) x 12 = 42 inches

(8) x 12 = 96 inches

Since the dimensions of the door of the dog's house are 1/6 that of the Smith's house, multiply each of the Smith's dimensions by 1/6 (or divide by 6)

42 / 6 = 7 inches 42 x 1/6 = 7 inches

96 / 6 = 16 inches 96 x 1/6 = 16 inches