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

The new length will be 7.15 cm. Option C.

Explanation:

Given,

The length of the floor is 33 feet.

The length of the floor should be increased by 30%.

Also, 1 cm = 6 ft

To find the scale of this change.

Now,

The length will be increased by = 30×33% ft

= 30×
`(33)/(100)` = 9.9 ft

Again,

6 ft = 1 cm

1 ft =
`(1)/(6)`

9.9 ft =
`(9.9)/(6)` cm = 1.65 cm

And

33 ft =
`(33)/(6)` cm = 5.5 cm

Hence,

The new length will be = 5.5+1.65 cm = 7.15 cm