When each side of a particular square is lengthened by 2 inches, the area of the square increases by 32 square inches. Calculate the length of a side of the original square.
A
4
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B
5
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C
6
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D
7
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E
8
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Solution
The correct option is D7 Let each side of a square be x When each side is increased by 2 inches side will be (x+2) It is said that area will also increase by 32 square inches. So as per given, sum equation will be (x+2)2=x2+32 ⇒x2+2x.2+22=x2+32 ⇒4x+4−32=0 ⇒4x=28 ⇒x=7 Length of a side of the original square will be 7 inches.