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The dimensions of a rectangular floor are 16 feet by 20 feet. When a rectangular rug is placed on the floor, a strip of floor 3 feet wide is exposed on all sides. What are the dimensions of the rug, in feet?
A. 10 by 14
B. 10 by 17
C. 13 by 14
D. 13 by 17
E. 14 by 16
A. 10 by 14
B. 10 by 17
C. 13 by 14
D. 13 by 17
E. 14 by 16
sashiim20
Joined: 04 Dec 2015
Last visit: 05 Jun 2024
Posts: 608
Location: India
Concentration: Technology, Strategy
Schools: ISB '19 IIMB IIMA XLRI HEC Sept19 intake Rotman '21 NUS '21 NTU '20 Trinity MBA '20 Bocconi '21 Smurfit "21
WE:Information Technology (Consulting)
Schools: ISB '19 IIMB IIMA XLRI HEC Sept19 intake Rotman '21 NUS '21 NTU '20 Trinity MBA '20 Bocconi '21 Smurfit "21
Posts: 608
pushpitkc
Given \(3\) feet wide is exposed on all sides. Hence all \(4\) sides will have \(3\) feet gap.
Length of floor \(= 20\)
Length of rug \(= 20 - 3 - 3 = 14\)
Width of floor \(= 16\)
Width of rug \(= 16 - 3 - 3 = 10\)
Hence dimensions of rug \(= 10\) by \(14\)
Answer A.
Posts: 6,727
pushpitkc
Here's a "sketch" of the provided information:
From here we can see that: (width of rug) + 3 + 3 = 20
Solve to get: width of rug = 14
Likewise: (height of rug) + 3 + 3 = 16
Solve to get: height of rug = 10
So we get the following:
Answer: A
Cheers,
Brent
ScottTargetTestPrep
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Target Test Prep Representative
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Expert reply
Posts: 22,738
pushpitkc
The dimensions of the rug are 16 - 6 = 10 feet by 20 - 6 = 14 feet.
Answer: A
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