Question

A rectangle has a height of 5 and a width of x2 + 2.

Express the area of the entire rectangle.
Expression should be expanded.
Area =

Answer 1

`5 {x}^(2) + 10`

Explanation:

The area of a rectangle is

`length * width`

The width of the rectangle is given in terms of x as

`w = {x}^(2) + 2`

The length of the rectangle is given as:

`l = 5`

To find the area of the rectangle we multiply the two expressions to get:

`5 * ( {x}^(2) + 2)`

We expand to get:

`5 {x}^(2) + 10`