Question

# A local park is 32 m long and its width is half of the length. It has two right-triangular grass lawns with the following dimensions. The local gardener wanted to renovate the park so he hired some men. The men agreed to work on the grass lawn at ₹​ 1.2 per sq metre and put new footpath at ₹ 0.80 per sq metre. What is the total cost the gardener will have to pay after the work is done?

A
₹​ 431.2
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B
₹​ 368.4
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C
₹​ 421.8
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D
₹​ 512
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Solution

## The correct option is A ₹​ 431.2The two triangles have different dimensions, hence different areas Area of 1 triangle = 12×5×12=30 m2 Area of the other triangle = 12×8×6=24 m2 Total area of the triangular lawns = 30 + 24 = 54 m2 Cost of working on the lawns = 1.2×54=₹64.8 Length of the park, l=32 m Breadth of the park, b=16 m Total area of the park = l×b=32×16=512 m2 Area of the footpath = Area of park - Area of the triangular lawns ⇒512−54⇒458 m2 Cost of putting new footpath = 458×0.8=₹366.4 Total cost = 64.8 + 366.4 = ₹ 431.2

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