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Question

# A mat in the shape of a parallelogram has a height of 4 cm and a base of 3 cm. How much would it cost to cover a parallelogram shaped hall with an area of 180 sq. cm with mats, if each mat costs Rs.7?

A

Rs. 105

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B

Rs. 115

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C

Rs. 135

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D

Rs. 95

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Solution

## The correct option is A Rs. 105 Let n be the number of mats required base of mat = 3 cm height of mat = 4 cm Area of the parallelogram = base × height Area of hall = Area of mat × number of mats ⇒ 180 = 4 x 3 x n ⇒n=18012=15 Given that each mat costs Rs. 7 Then the cost of 15 mats costs = 7 x 15 = Rs.105

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