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Total Surface Area of a Cuboid

Q27 The dimen...

Question

Q27) 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

(a) 10 X 14

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B

(b) 10 X 17

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C

(c) 13 X14

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D

(d) 13 X 17

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Solution

The correct option is A (a) 10 X 14
Ans:27)(a)
Sol: The rug is placed in the middle of the room. The rug leaves 3m on either side of it both lengthwise and breadth wise. Now, the dimensions of the rug would be the dimensions of the room - the space that it does not occupy. With three 3 on either side, 6 m is not occupied by the rug in both dimensions.
So, rug size = (16-6) X (20-6) = 10 X14

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