# A rectangle has length #3sqrt5 - 4sqrt3# feet and width #2sqrt5 + 5sqrt3# feet, what is the perimeter?

##### 1 Answer

May 24, 2017

The perimeter of the rectangle is undefined.

But if it did exist, it would be

#### Explanation:

The formula for perimeter is

The width

#w# is#2sqrt5+5sqrt3#

The length#l# is#3sqrt5 - 4 sqrt3#

Hmm... the length is less than 0 (it is

Let's go ahead and pretend we *could* have negative sides.

In that case, the perimeter is:

#P = 2(3sqrt5-4sqrt3)+2(2sqrt5+5sqrt3)#

#P = 6sqrt5-8sqrt3+4sqrt5+10sqrt3#

#P = 10sqrt5 + 2 sqrt3#

*Final Answer*