+0  
 
0
69
1
avatar

A large rectangle has side lengths of $(x+7)$ and $(x+5)$. In the large rectangle, there is a rectangular hole with side lengths of $(2 x-3)$ and $(x-2)$. What is the area of the large rectangle (not including the area of the hole)? Express your answer as a polynomial in $x$.

 Jun 21, 2020
 #1
avatar+782 
+1

The area of the entire large rectangle is (x+7)(x+5). The hole is (2x-3)(x-2). Not including the area of the hole, the area of the large rectangle would be (x+7)(x+5)-(2x-3)(x-2).

 

(x+7)(x+5)-(2x-3)(x-2)

=x^2+12x+35-2x^2-7x+6

=-x^2+19x+29

 Jun 21, 2020

38 Online Users

avatar
avatar