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Ray Of Light [21]
3 years ago
9

Do you rectangular floor of a classroom is 36 feet length and 32 feet in width. They scale drawing of the Florida has a length o

f 9 inches. What is the area square inches of the floor in the scale drawing
Mathematics
1 answer:
Ivanshal [37]3 years ago
4 0

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.

\frac{36}{0.75}=\frac{32}{x}

This means <u>"if 36 feet is 0.75 feet in drawing, how much (let that be x) is 32 feet?"</u>

<u />

let's cross multiply and solve for x:

\frac{36}{0.75}=\frac{32}{x}\\36x=32*0.75\\36x=24\\x=\frac{24}{36}=\frac{2}{3}

<em>So width is 2/3 feet and length is 0.75 feet.</em>

<em>Converting back to inches (since we need the area in sq. inches):</em>

<em>2/3 feet = 2/3 * 12 = 8 inches, and</em>

<em>0.75 feet = 0.75 * 12 = 9 inches</em>

<em />

<em>Hence, area is 8 * 9 = 72 sq. inches.</em>

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