The height of a triangle is $2 x + 6$ cm and its base $4 x - 12$ cm. The area of the triangle expressed as a polynomial is

8 x^{2} - 72 c m^{2}

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4 x^{2} - 36 c m^{2}

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2 x^{2} - 18 c m^{2}

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4 x^{2} - 24 x 36 c m^{2}

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Solution

The correct option is B $4 x^{2} - 36 c m^{2}$
Given a triangle $b = 4 x - 12 c m, h = 2 x + 6 c m$
Area = $\frac{1}{2} \times b \times h$
= $\frac{1}{2} (4 x - 12) \times (2 x + 6) c m^{2}$

= $4 x^{2} - 36 c m^{2}$

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