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Question
A sweet is in the shape of rhombus whose diagonals are given as 4 cm and 5 cm. The surface of the sweet should be covered by an aluminum foil. Find the cost of aluminum foil used for 400 such sweets at the rate of ₹ 7 per 100 sq.cm
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Solution
Diagonals d1 = 4 cm and d2 = 5 cm
Area of one rhombus shaped sweet = `1/2` (d1 × d2) sq.units
= `1/2` × 4 × 5 cm2
= 10 cm2
Aluminum foil used to cover 1 sweet = 10 cm2
∴ Aluminum foil used to cover 400 sweets = 400 × 10 = 4000 cm2
Cost of aluminum foil for 100 cm2 = ₹ 7
∴ Cost of aluminum foil for 4000 cm2 = `4000/100 xx 7` = ₹ 280
∴ Cost of aluminum foil used = ₹ 280.
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