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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?

User Dror
by
8.7k points

2 Answers

4 votes

Answer:

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)

User Bonfix Ngetich
by
8.0k points
3 votes

Answer:

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



User Quan
by
8.1k points

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