Answer:
72 sq. inch.
Step-by-step explanation:
9 inches in feet is 9/12 = 0.75 feet.
We can set up a ratio to figure out the width of the scale drawing.
[tex]\frac{36}{0.75}=\frac{32}{x}[/tex]
This means "if 36 feet is 0.75 feet in drawing, how much (let that be x) is 32 feet?"
let's cross multiply and solve for x:
[tex]\frac{36}{0.75}=\frac{32}{x}\\36x=32*0.75\\36x=24\\x=\frac{24}{36}=\frac{2}{3}[/tex]
So width is 2/3 feet and length is 0.75 feet.
Converting back to inches (since we need the area in sq. inches):
2/3 feet = 2/3 * 12 = 8 inches, and
0.75 feet = 0.75 * 12 = 9 inches
Hence, area is 8 * 9 = 72 sq. inches.
