Choose the correct answer of the following question:
The lengths of the sides of a triangular field are 20 m, 21 m and 29 m. The cost of cultivating the field at ₹9 per m2 is
(a) ₹2610 (b) ₹3780 (c) ₹1890 (d) ₹1800
As, the sides of the triangle are $20 \mathrm{~m}, 21 \mathrm{~m}$ and $29 \mathrm{~m}$
So, the semi $-$ perimeter $=\frac{20+21+29}{2}=35 \mathrm{~m}$
Now, the area of the triangular field $=\sqrt{35(35-20)(35-21)(35-29)}$
$=\sqrt{35 \times 15 \times 14 \times 6}$
$=\sqrt{7 \times 5 \times 5 \times 3 \times 7 \times 2 \times 2 \times 3}$
$=2 \times 3 \times 5 \times 7$
$=210 \mathrm{~m}^{2}$
$\therefore$ The cost of cultivating the field $=210 \times 9=₹ 1890$
Hence, the correct answer is option (c).
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