# A rectangle has sides of #(7 + sqrt2)# feet and #(7 - sqrt2)# feet long. What is the area and the perimeter of the rectangle?

##### 1 Answer

Dec 1, 2015

#### Explanation:

**Perimeter:**

The rectangle's sides are

To find the perimeter, we add all of these to one another:

We can rearrange the order to see that the perimeter equals:

Notice that all the square root terms will cancel, and the sevens will add together for a perimeter of **28**.

**Area:**

To find the area of the rectangle, multiply the base length by the height length. We will have to FOIL.

Two things: notice that

This leaves us with an area of **47**.