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
Reset

C.

2.67 inches by 2.27 inches

Step-by-step 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

C

Step-by-step explanation:

20/7.5 = 2.67

17/7.5 = 2.27

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.