Question

The blueprint shows the architectural layout for a space John and Jason want to rent out for their birthday party. Every 4 inches in the blueprint represents 3 feet of the actual room. One of the walls in the bli=ue print is 24 inches long.

a) Find the actual length of the wall, in feet.
b) In the blueprint, the length of the sidewall is 16 inches. Find the actual length of the wall.
c) In the blueprint, the back wall of the room is actually 33 feet long. What is the length of the back wall in the blueprint, in inches?

Answer 1

a. 18 ft

b 12 ft

c 44 inches

Explanation:

We can use proportions to solve part a. Put the inches on the diagram on top and the feet in real life on the bottom

4 inches 24 inches

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

3 ft x ft

Using cross products

4x = 3 *24

Divide each side by 4

4x/4 = 3* 24/4

x = 3 * 6

x = 18 ft

We can use proportions to solve part b. Put the inches on the diagram on top and the feet in real life on the bottom

b) 4 inches 16 inches

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

3 ft x ft

Using cross products

4x = 3 *16

Divide each side by 4

4x/4 = 3* 16/4

x = 3 * 4

x = 12 ft

We can use proportions to solve part c. Put the inches on the diagram on top and the feet in real life on the bottom

b) 4 inches y inches

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

3 ft 33 ft

Using cross products

4*33 = 3 *y

Divide each side by 3

4*33/3 = 3* y/3

4*11 =y

44 =y

44 inches =y