Question

Write an expression for the area of a triangle with a height of 2x2 units and a base of 5x2 + 4x units.

Answer 1

The expression for the area of the triangle is $5x^4+4x^3$ units

Explanation:

Given that height of the triangle is $2x^{2}$ units

The base of the triangle is $5x^{2} +4x$

Area of the triangle:

The area of the triangle can be determined using the formula,

$A=\frac{1}{2}bh$

where $b=5x^{2} +4x$ and $h=2x^{2}$

Substituting the above values in the formula, we get,

$A=\frac{1}{2}(5x^2+4x)(2x^2)$

Cancelling the common terms, we get,

$A=(5x^2+4x)(x^2)$

Multiplying the terms, we have,

$A=5x^4+4x^3$

Hence, the expression for the area of the triangle is $5x^4+4x^3$ units.