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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

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by BTGModeratorVI » Mon Sep 07, 2020 7:02 am

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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
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Source: — Problem Solving |

BTGModeratorVI wrote:
Mon Sep 07, 2020 7:02 am
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:
Image

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

Answer: E

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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