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Question

A small rectangular piece of length 512 ft and width 417 ft is cut out from a cardboard sheet of area 317 sq ft as shown in the figure below. Find the remaining area of the cardboard sheet.

A
2/51 sq ft
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B
3/34 sq ft
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C
1/17 sq ft
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D
4/51 sq ft
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Solution

The correct option is D 4/51 sq ftInitial area of the carboard sheet = 317 sq ft Area of the small rectangular piece = Length × Width = 512 × 417 = 551 sq ft Remaining area of the cardboard sheet = Initial area of the cardboard sheet - Area of the small rectangular piece = 317 - [ 512 × 417 ] =317 - 551 = 9 − 551 = 451 sq ft Therefore, the remaining area of the cardboard sheet is 451 sq ft.

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