# The Base and the Altitude of a Triangle Are (3x – 4y) and (6x + 5y) Respectively. Find Its Area. - Mathematics

Sum

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

#### Solution

Reqd. Area = 1/2 (base) x (altitude)

=1/2 (3x − 4y) (6x + 5y)

=1/2  (18x2 + 15xy − 24xy − 20y2)

=1/2 (18x2 − 9xy − 20y2) sq. unit.

Concept: Multiplying a Polynomial by a Polynomial
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#### APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 11 Algebraic Expressions
Exercise 11 (C) | Q 5 | Page 143