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A triangular garden has two sides 18 $m$ and 24 $m$ , and its perimeter is 72 $m$ .
Find the area of the garden (in $m^{2}$ ).

Class 9Area of a Triangle by Heron's FormulaMensuration

A236
B216
C196
D432

Step-by-Step Solution

Third side = 72 - 18 - 24 = 30

m . s = \frac{72}{2} = 36

. Area =

36 \cdot (36 - 18) \cdot (36 - 24) \cdot (36 - 30) = 36 \cdot 18 \cdot 12 \cdot 6 = 46656 = 216 m^{2}

.

Answer: B) 216

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