Question

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

2x2
1
5x2 + 4x
o
A. 10x4 + 8x3
o
B. 10x4 + 8x2
O
c. 5x + 4x3
D. 5x4 + 4x2

Answer 1

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

Step-by-step 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=(1)/(2)bh`

where
`b=5x^(2) +4x` and
`h=2x^(2)`

Substituting the above values in the formula, we get,

`A=(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.