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?

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 Whats the area of the actual office class=

Respuesta :

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:

[tex]\begin{gathered} \text{Area}=\frac{base\times height}{2} \\ \text{Area=}\frac{60\times36}{2} \\ \text{Area}=\frac{2160}{2} \\ \text{Area}=1080yd^2 \end{gathered}[/tex]

Answer: 1080 yards^2

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