Question

Find the area of the rectangle.
The bottom one

Answer 1

The area of the rectangle is
`8√(6)+√(18)` ft².

Explanation:

The formula for the area of a rectangle is length times width

`A=lw`

We are given

`l=8+√(3)`

`w=√(6)`

Given this information we can solve for the area.

`A=(8+√(3))*√(6)`

Use the Distributive Property to distribute
`√(6)` over
`8+√(3)`.

`A=8√(6)+√(6) √(3)`

We can simplify this to

`A=8√(6)+ 3√(2)` or
`A=8√(6)+√(18)`