# How do you find the area of a triangle with base of 3x+5 ft and a height of 5x ft?

Oct 4, 2015

The area of the triangle will be  = color(green)(5/2*(3x^2+5x) sq. ft

#### Explanation:

Area of a Triangle = $\frac{1}{2} \cdot B a s e \cdot H e i g h t$

We have been given the base as $3 x + 5$ and the height as $5 x$

Substituting the values in the formula, we get:

Area of a Triangle = $\frac{1}{2} \cdot \left(3 x + 5\right) \cdot 5 x$

$= \frac{5}{2} \cdot \left(3 {x}^{2} + 5 x\right)$

The area of the triangle will be  = color(green)(5/2*(3x^2+5x) sq. ft