Question

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?

Answer 1

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 =$\dfrac{1}{12}$ of drawing.  (1)

For couch :

Height = 32 inches

Length = 69 inches

Then, the measurements on the scale drawing will be :-

Height= $\dfrac{1}{12}\times{32}=2.67\text{ in.}$  (using (1))

Length = $\dfrac{1}{12}\times{69}=5.75\text{ in.}$   (using (1))

Hence, the measurements of couch on the scale drawing:

Height=  2.67 in.

Length = 5.75 in.