Question

A scale drawing of a triangular office has a height of 6 inches and base of 10 inches. The scale is 1 in: 6 yards. What’s the area of the actual office?

Answer 1

The scale is:

1 in = 6 yards

Therefore, for the height and base of the office we have:

Height = 6 in = 6 x 6 = 36 yards

Base = 10 in = 10 x 6 = 60 yards

The area of the actual office is:

`\begin{gathered} \text{Area}=(base* height)/(2) \\ \text{Area=}(60*36)/(2) \\ \text{Area}=(2160)/(2) \\ \text{Area}=1080yd^2 \end{gathered}`

Answer: 1080 yards^2