Katherine and Adam need a rug for their living room. They have purchased a rectangular rug that has a width of 5��2+ 3�� ft. and a length of 4 ��2+ 2 ft

In the space below, draw a sketch of the rug.  



What is the perimeter of the rug?

Their friend, Lewis, has written the expression shown in the box  below to represent the perimeter of the rug. 
9��2+ 5��2

Is Lewis correct or incorrect?

Lewis also predicts that an expression representing the area of the  rug will be a binomial.

Is Lewis correct or incorrect?
​