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Mathematics

Putting it together: Solids

Hariprasad's ...

Question

Hariprasad's triangular field has sides of 90 m, 80 m and 70 m. How much barbed wire will he need for fencing the filed if he uses 6 lengths of wire along each side? Hoe much will he have to pay for the wire if it costs Rs 50 per metre?

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Solution

The lengths of three sides of triangular field are $90 m, 80 m$ and $70 m$
The Perimeter of the field $= 90 m + 80 m + 70 m = 240 m$
Length of wire required to cover the field once $= 240 m$
It is given that the former uses six lengths of wire for each side, therefore $6$ times the length of covering field once is required
$\Rightarrow 240 \times 6 = 1440 m$
cost of $1 m e t e r$ of wire $= R s . 50$
cost of $1440 m = 1440 \times 50 = R s . 72, 000$

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