If 60 percent of a rectangular floor is covered by a rectangular rug that is 9 feet by 12 feet, what is the area...

AAPL wrote: ↑

Wed Sep 23, 2020 4:44 pm

Official Guide

If 60 percent of a rectangular floor is covered by a rectangular rug that is 9 feet by 12 feet, what is the area, in square feet, of the floor?

A. 65
B. 108
C. 180
D. 270
E. 300

OA C

Solution:

Letting n = the area of the floor, we can create the following equation:

(9 x 12) = 0.6n

108 = 0.6n

180 = n

Answer: C

AAPL wrote: ↑

Wed Sep 23, 2020 4:44 pm

Official Guide

If 60 percent of a rectangular floor is covered by a rectangular rug that is 9 feet by 12 feet, what is the area, in square feet, of the floor?

A. 65
B. 108
C. 180
D. 270
E. 300

OA C

Area of rectangular RUG = (base)(height) = (9)(12) =108
This RUG covers 60% of the FLOOR
In other words, 108 = 60% of the area of the FLOOR
Or we can write: 108 = 0.6(area of FLOOR)

So, 108 /0.6 = area of FLOOR
Evaluate to get: 180 = area of FLOOR

Answer: C

Cheers,
Brent

AAPL wrote: ↑

Wed Sep 23, 2020 4:44 pm

Official Guide

If 60 percent of a rectangular floor is covered by a rectangular rug that is 9 feet by 12 feet, what is the area, in square feet, of the floor?

A. 65
B. 108
C. 180
D. 270
E. 300

OA C

PRO TIP
Once we know that So, 108 /0.6 = area of FLOOR, we can apply some number sense to avoid dividing 0.6 into 108

Notice that 108 /0.5 = 216
Since 0.6 is a bit bigger than 0.5, we know that 108 /0.6 will be a little bit less than 216
Check the answer choices...only answer choice C is a bit less than 216

ASIDE: This shortcut works, because the answer choices are nicely spread apart.

Cheers,
Brent