Question

The rectangular floor of a classroom is 36 feet in length and 32 feet in width. A scale drawing of the floor has a length of 9 inches. What is the area, in square inches, of the floor in the scale drawing?

Answer 1

72 square inches.

Explanation:

Convert feet and inches.

36 feet = 36*12 inches

=432 inches

Width of the floor; Converted from feet to inches:

32 feet = 32*12 inches

= 384 inches

Calculate how many times the length (l) has been scaled down.

432 inches of length has been reduced to 9 inches.

`(432)/(9)=48`

Now the length has been scaled down 48 times.

Scale down the width (w) 48 times.

`(384)/(48) =8`

The width of the scale drawing = 8 in

Area of the Scale drawing = Scaled down length * Scaled down width

`=9*8 =72in^(2)`

Answer 2

Area of the Scale drawing is
`72` square inches.

Explanation:

First we need to convert feet and inches to a common unit. For that lets convert feet into inches.

1 feet = 12 inches

Therefore,

The length of the floor in inches:

`36` feet =
`36*12` inches

=
`432` inches

The width of the floor in inches:

`32` feet =
`32*12` inches

=
`384` inches

Now lets calculate by how many times the length has been scaled down:

432 inches of length has been reduced to 9 inches.

`(432)/(9)=48`

So the length has been scaled down 48 times.

Now lets scale down the width 48 times:

`(384)/(48) =8`

So the width of the Scale drawing is 8 inches.

Area of the Scale drawing = Scaled down length * Scaled down width

=
`9*8`

=
`72` square inches