A rectangular floor is covered by a rug except fo a strip p meters along each of the four edges. If the floor is m meter

[BTGModeratorVI]

A rectangular floor is covered by a rug except fo a strip p meters along each of the four edges. If the floor is m meters by n meteres, What is the area of the rug in square meters?

A) mn - p(m+n)
B) mn – 2p(m+n)
C) mn – p^2
D) (m - p)(n - p)
E) (m - 2p)(n - 2p)

Answer: E
Source: Official guide

[Brent@GMATPrepNow]

A rectangular floor is covered by a rug except fo a strip p meters along each of the four edges. If the floor is m meters by n meteres, What is the area of the rug in square meters?

A) mn - p(m+n)
B) mn – 2p(m+n)
C) mn – p^2
D) (m - p)(n - p)
E) (m - 2p)(n - 2p)

Answer: E
Source: Official guide

When we sketch the given information, we get the following:


So, the area of the rectangular rug equals = (base)(height) = (m - 2p)(n - 2p)

Answer: E

Cheers,
Brent