Question

find cost of leveling aground in the form of atriangle with sides 16m,12m and 20m at Rs.4 per sq.m

Answer 1

Hey friend,
Here is the answer you were looking for:

To find the cost, first let's calculate the area of triangle ( here with heron's formula):
$let \: a \: be \: 16cm \\ b \: be \: 12cm \\ c \: be \: 20cm \\ \\ area \: of \: triangle = \sqrt{s(s - a)(s - b)(s - c)} \\ \\ lets \: calculate \: s \: (semi - circle) \\ = \frac{a + b + c}{2} \\ \\ = \frac{16 + 12 + 20}{2} \\ \\ = \frac{48}{2} \\ \\ = 24cm \\ \\ area = \sqrt{24(24 - 16)(24 - 12)(24 - 20) } \\ \\ = \sqrt{24(8)(12)(4)} \\ \\ = \sqrt{24 \times 8 \times 12 \times 4} \\ \\ = \sqrt{9216} \\ \\ = 96 {cm}^{2} \\ \\ cost = area \: \times 4 \\ \\ = 96 \times 4 \\ \\ = rs \: 984$

So the cost is ₹984.

Hope this helps!!!

@Mahak24

Thanks...
☺