Question

On a blueprint for a new building, 2 inches = 8 feet. The height of the building on the blueprint is 9 inches. What is the actual height of the building?

Answer 1

Correct answer: H = 36 feet

Explanation:

Given:

2 (inches) : 8 (feet) Scale on the blueprint, with meaning 2 inches on blueprint versus 8 feet in reality

h = 9 inches height on the blueprint

H = ? actual height of the building

We will form a proportion:

2 : 8 = h : H

2 : 8 = 9 : H ⇒ 2 H = 9 · 8 = 72 ⇒ H = 72 / 2 = 36 feet

H = 36 feet

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