Answer:
Area of the Scale drawing is [tex]72[/tex] square inches.
Step-by-step 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:
[tex]36[/tex] feet = [tex]36*12[/tex] inches
=[tex]432[/tex] inches
The width of the floor in inches:
[tex]32[/tex] feet = [tex]32*12[/tex] inches
=[tex]384[/tex] inches
Now lets calculate by how many times the length has been scaled down:
432 inches of length has been reduced to 9 inches.
[tex]\frac{432}{9}=48[/tex]
So the length has been scaled down 48 times.
Now lets scale down the width 48 times:
[tex]\frac{384}{48} =8[/tex]
So the width of the Scale drawing is 8 inches.
Area of the Scale drawing = Scaled down length * Scaled down width
=[tex]9*8[/tex]
=[tex]72[/tex] square inches
Answer:
72 square inches.
Step-by-step 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.
[tex]\frac{432}{9}=48[/tex]
Now the length has been scaled down 48 times.
Scale down the width (w) 48 times.
[tex]\frac{384}{48} =8[/tex]
The width of the scale drawing = 8 in
Area of the Scale drawing = Scaled down length * Scaled down width
[tex]=9*8 =72in^{2}[/tex]
