Question

A rectangle has a height of 5 and a width of 4x^2-2x-6.Express the area of the entire rectangle. Expression should be expanded.​

Answer 1

The area of the entire rectangle is
`20x^2-10x-30`

Explanation:

Area of a Rectangle

The area of a rectangle of height H and width W is:

A=H.W

The rectangle has a height of H=5 and a width of
`W=4x^2-2x-6`. Calculate the area:

`A=5*(4x^2-2x-6)`

Expand the product:

`A=20x^2-10x-30`

The area of the entire rectangle is
`20x^2-10x-30`