A local park is 32 m long and its width is half its length. It has two right-triangular grass lawns as shown. The local gardener wanted to rennovate the park so he hired some men. The men agreed to work on the grass lawn at ₹ 1.2 per sq metre and also lay a new footpath around the lawns at ₹ 0.80 per sq metre. What is the total cost the gardener will have to pay after the work is done?
₹ 431.2
The 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 laying new footpath = 458×0.8=₹366.4
Total cost = 64.8 + 366.4 = ₹ 431.2