Question

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 of 9 inches. What is the area square inches of the floor in the scale drawing

Answer 1

72 sq. inch.

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.

`(36)/(0.75)=(32)/(x)`

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:

`(36)/(0.75)=(32)/(x)\\36x=32*0.75\\36x=24\\x=(24)/(36)=(2)/(3)`

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.