Question

A scale drawing for the floor of a rectangular office shows the floor to be 33 feet long and 24 feet wide. The business wants to increase the length of the floor by 30%. The builder recreates the scale drawing to show this change. If the scale drawing shows that 1 centimeter=6 feet, then what is the length of the floor on the new scale drawing?

A. 1.65 cm
B. 4.90 cm
C. 7.15 cm
D. 10.50 cm

Answer 1

C. 7.15 cm

Explanation:

step 1

Find the new length of the floor

Remember that

`100\%+30\%=130\%=130/100=1.30`

The new length is equal to the original length multiplied by 1.30

so

`33(1.3)=42.9\ ft`

step 2

Find the length of the floor on the new scale drawing

we have that

The scale drawing is

`(1)/(6)\ (cm)/(ft)`

That means

1 cm in the drawing represent 6 feet in the actual

Multiply the length of the floor in the actual by the scale drawing

so

`(1)/(6)(42.9)=7.15\ cm`