Question

A rectangle has a height of 5 and a width of 4x^2 – 2x – 6.

Answer 1

The area of the rectangle is
`20x^(2) -10x-30` units.

Explanation:

Step 1:

The area of a rectangle is obtained by multiplying the length with the width of the rectangle.

Considering this a whole rectangle, the length of the rectangle is 5 units and the width is the sum of
`4x^(2)`,
`-2x`, and -6.

So the length of the rectangle = 5 units and

the width of the rectangle
`= 4x^(2) -2x-6` units.

The area of a rectangle = (length)(width).

Step 2:

By substituting the known values, we get

The area of the rectangle
`= (5) (4x^(2) -2x-6) = 20x^(2) -10x-30.`

So the area of the rectangle is
`20x^(2) -10x-30` units.