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Question
4 squares each of side 10 cm have been cut from each corner of a rectangular sheet of paper of size 100 cm × 80 cm. From the remaining piece of paper, an isosceles right triangle is removed whose equal sides are each of 10 cm length. Find the area of the remaining part of the paper.
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Solution
Area of each square = (10)2 cm2 = 100 cm2 ...[∵ Area of square = (Side)2]
Area of rectangular sheet = 100 × 80 cm2 = 8000 cm2 ...[∵ Area of rectangle = Length × Breadth]
Area of an isosceles right triangle = `1/2 xx 10 xx 10` = 50 cm2 ...[∵ Area of an isosceles right triangle = `1/2` × base × height]
∴ Area of remaining part of paper = 8000 – 4 × 100 – 50 = 7550 cm2
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