Question

Answer this question fast please.

Answer 1

`A=4x^5+16x^4+4x^3`

Explanation:

The area of a trapezoid is found with the formula

`A=((B+b)h)/(2)`

where B is the measurement of the longest side of the trapezoid (the largest base) and b is the measurement of the shortest side of the trapezium (the minor base), and h is the height. In this case we have:

`b=8x^2+3x\\B=2x^3-x\\h=4x^2`

so, substituting this values in the formula:

`A=((2x^3-x+8x^2+3x)(4x^2))/(2)`

Simplifying the expression and joining like terms

`A=((2x^3+8x^2+2x)(4x^2))/(2)`

Multiplying the numerator parentheses:

`A=(8x^5+32x^4+8x^3)/(2)`

dividing by 2:

`A=4x^5+16x^4+4x^3`

the simplified expression for the area of this trapezoid is

`4x^5+16x^4+4x^3`