118k views
5 votes
The scale of a drawing is 1/4 inches = 15 feet. What is the actual measurement of the original drawing if the scale drawing is 9 inches?

a) 45 feet
b) 60 feet
c) 135 feet
d) 90 feet

1 Answer

3 votes

Final answer:

By setting up a proportion using the scale 1/4 inch = 15 feet and the scale measurement of 9 inches, we find the actual measurement to be 135 feet.

Step-by-step explanation:

The scale of a drawing is 1/4 inches equals 15 feet. To find the actual measurement of the original drawing when the scale drawing is 9 inches, we can set up a proportion to compare the scale to the actual measurement:

1/4 inch / 15 feet = 9 inches / x feet

To solve for x, we can cross-multiply:

(1/4) * x = 9 * 15

Now we divide both sides of the equation by (1/4) to isolate x:

x = (9 * 15) / (1/4)

x = 135 feet

Therefore, the actual measurement of the original drawing is 135 feet.

User Desmond Cheong
by
7.7k points