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Sum

The base and the altitude of a triangle are (3x – 4y) and (6x + 5y) respectively. Find its area.

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#### Solution

Reqd. Area = `1/2` (base) x (altitude)

`=1/2` (3x − 4y) (6x + 5y)

`=1/2 ` (18x^{2} + 15xy − 24xy − 20y^{2})

`=1/2` (18x^{2} − 9xy − 20y^{2}) sq. unit.

Concept: Multiplying a Polynomial by a Polynomial

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