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:

The expression height of the triangle=
`2x^2` units.

The expression base of the triangle=
`5x^2+4x` units.

The area of the triangle =
`(1)/(2)`bh.

where b is the base and h is the height.

Area A=
`(1)/(2)(2x^2)(5x^2+4x)`.

=
`x^2(5x^2+4x)`.

=
`5x^4+4x^3`.

∴ The expression for the area of the given triangle is
`5x^4+4x^3 units`.