Question

A blueprint of a building has a scale of 3/4 inch = 10 feet. The actual height of the building is 48 feet. Determine the height of the barn on the blueprint.

Answer 1

3.6 inches

Explanation:

→ Divide 48 by 10

48 ÷ 10 = 4.8

→ Multiply by 3/4

3/4 × 4.8 = 3.6 inches

Answer 2

Explanation:

3/4" on the blueprint correlates to 10' in reality.

the building (or barn) is 48' high.

so, what is the factor of this compared to the normed 10' ?

10×f = 48

f = 48/10 = 4.8

alright !

now ask we need to do is: apply this factor now to the blueprint scale :

3/4 × 4.8 = 3/4 × 4 8/10 = 3/4 × 4 4/5 = 3/4 × 24/5 =

= 3×24 / 4×5 = 72/20 = 18/5 =3 3/5"

the building/barn is therefore 3 3/5" tall on the blueprint.