A scale drawing uses the scale 1 in = 12 in. If a couch has a height of 32 inches and a length of 69 inches, what are its measurements on the scale drawing?
Accepted Solution
A:
Answer: Height= 2.67 in.Length = 5.75 in. Step-by-step explanation:Given : A scale drawing uses the scale 1 in = 12 in.i.e. 1 in. of drawing = 12 in. of actual figure.i.e. 1 in. of actual figure =[tex]\dfrac{1}{12}[/tex] of drawing. (1)For couch : Height = 32 inchesLength = 69 inchesThen, the measurements on the scale drawing will be :-Height= [tex]\dfrac{1}{12}\times{32}=2.67\text{ in.}[/tex] (using (1))Length = [tex]\dfrac{1}{12}\times{69}=5.75\text{ in.}[/tex] (using (1))Hence, the measurements of couch on the scale drawing:Height= 2.67 in.Length = 5.75 in.