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Question
Amita wants to make rectangular cards measuring 8 cm × 5 cm. She has a square chart paper of side 60 cm. How many complete cards can she make from this chart? What area of the chart paper will be left?
Solution
The square chart of length 60 cm can be divided exactly in 7 parts each of length 8 cm along one side of chart paper and exactly in 12 parts each of length 5 cm along other side of chart paper.
The figure shows that the number of rectangular cards which can be made from the square chart paper is 7 × 12 = 84
Now, area of the square chart paper = (60 × 60) cm2 = 3600 cm2
Area of one rectangular card = (8 × 5) cm2 = 40 cm2
∴ Area of 84 rectangular cards = 84 × 40 cm2 = 3360 cm2
∴ Area of remaining chart paper = (3600 – 3360) cm2 = 240 cm2
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