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Question

Jaffar has a square canvas with sides of 60cm length. He wants to turn it into a rectangle by reducing one pair of opposite sides, but he does not want to decrease the area by more than 10%. By how much can he reduce the length of one pair of opposite sides of the square?

A
Reduction ≤ 6 cm
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B
Reduction < 9 cm
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C
Reduction ≤ 7 cm
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D
Reduction < 8 cm
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Solution

The correct option is A Reduction ≤ 6 cm
Let the reduction in the length of one pair of opposite sides of the square is x cm
New length of one pair of opposite sides=(60x) cm

Area of the 'Square' = 60 × 60 = 3600 cm2Area of the 'Rectangle' 90% of the area of the 'Square'60(60x)90100×360060(60x)3240Dividing both sides by 60, we get,60(60x)60324060(60x)54 cmor, x6054Therefore reduction6 cm

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