Question

A rectangle has a height of 4w^3 and a width of 5w^2-3w-4 what is the area

Answer 1

The area of a rectangle with a height of 4w^3 and a width of
`5w^2-3w-4`is given by the polynomial
`20w^5 - 12w^4 - 16w^3`.

Step-by-step explanation:

To find the area of a rectangle, multiply the height by the width. Given a rectangle with a height of
`4w^3` and width of
`5w^2-3w-4,` the area is calculated as:

Area = Height × Width =
`(4w^3) X (5w^2 - 3w - 4)`

To compute the area, you need to perform the multiplication of these two polynomials:

Area =
`4w^3 X 5w^2 - 4w^3 X 3w - 4w^3 X 4`

Area =
`20w^5 - 12w^4 - 16w^3`

The area of the rectangle is
`20w^5 - 12w^4 - 16w^3`, which is a polynomial expression in terms of w.