Question

Bob makes a scale drawing of a statue using the scale 1 cm : 5 ft. His drawing measures 12 cm. Kia makes a scale drawing of the same statue using the scale 1 cm : 4 ft. How many centimeters tall is the statue in Kia's drawing?

Answer 1

Kia's drawing is 15 cm tall

Explanation:

Let's first investigate what the actual size of the statue is based on the information we have from Bob's drawing:

12 cm is the height in his drawing, and since he used a scale 1 cm : 5 ft, this means that his 12 cm are representing a statue which is 12 * 5 ft tall:

statues height =
`12 cm * (5\,ft)/(1\,cm) = 12*5\,ft = 60\,ft`

Now that we know the size of the actual statue, we can find the size of Kia's drawing, who uses a scale 1 cm : 4 ft.

Kia's drawing =
`60\,ft\,*\,(1\,cm)/(4 \,ft) = (60)/(4) \,cm=15\,cm`