A triangle park has sides 120m, 80m, 50m. A Gardner has to put a fence all around it and also plant grass inside , find the cost of fencing it with a wire at rs.20 perimeter and how much area does she need to plant.
PLEASE URGENT
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A triangle park has sides 120m, 80m, 50m. A Gardner has to put a fence all around it and also plant grass inside , find the cost of fencing it with a wire at rs.20 perimeter and how much area does she need to plant.
PLEASE URGENT
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Step-by-step explanation:
250 m perimeter
fencing cost is 5000
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Answer:
Step-by-step explanation:
given the sides of the triangular park are 120m, 80m and 50m.
perimeter of the triangular park = 120m + 80m + 50m
= 250m
therefore it's semi-perimeter = 250/2
= 125m
\tt \small \: area \: of \: the \: triangular \: park \: by \\ \tt \small herons \: formula = \scriptsize {\sqrt{s(s - a)(s - b)(s - c)} } \\ \tt \footnotesize = \sqrt{125(125 - 120)(125 - 80)(125 - 50)} \\ \tt \footnotesize = \sqrt{125 \times 5 \times 45 \times 75} \\ \tt \footnotesize = \sqrt{2109375} \\ \tt \small = 1452.36 {m}^{2} \:
hence, the gardener have to plant grass in 1452.36m²
now we have to find the cost of fencing the field with a barbed wire at the rate of rs 20 per m leaving a space of 3m wide for a gate.
therefore the gardener have to fence = 250 - 3
= 247m
so total cost of fencing at the rate of rs 20 per meter = 247 × 20
= rs 4940
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