Question

An architect drew the blueprint for a new office building. He used a scale in which 1 inch represents 7.5 feet. The floor of an office in the building will have actual dimensions of 20 feet by 17 feet. What will be the dimensions on the blueprint?

A.
27.5 inches by 24.5 inches
B.
150 inches by 127.5 inches
C.
2.67 inches by 2.27 inches
D.
12.5 inches by 9.5 inches
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Answer 1

C

Explanation:

20/7.5 = 2.67

17/7.5 = 2.27

Answer 2

C.

2.67 inches by 2.27 inches

Explanation:

We can use ratios to solve

1 in x inches

-------- = ---------

7.5 ft 20 ft

Using cross products

1*20 = 7.5x

Divide each side by 7.5

20/7.5 =7.5x/7.5

2.67 =x

We can do the same for the other dimension

1 in x inches

-------- = ---------

7.5 ft 17 ft

Using cross products

1*17 = 7.5x

Divide each side by 7.5

17/7.5 =7.5x/7.5

2.27 =x

2.67 inches by 2.27 inches