Question

A rectangle has a heigh if 4x^3 and a width of x^3+3x^2+2x

Answer 1

Area =
`4x^6+12x^5+8x^4`

Explanation:

The Complete Question:

A rectangle has height
`4x^3` and width
`x^3+3x^2+2x`. What is the area of the rectangle in terms of x?

Solution:

The formula for the area of a rectangle is:

Area = Height * Width

Both the expressions for height and width is given, so we just need to multiply both the expressions to get an expression, in x, for the area of the rectangle. The algebra is shown below:

`A=(4x^3)(x^3+3x^2+2x)\\A=4x^6+12x^5+8x^4`

This is the area of the rectangle.