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
