+0  
 
0
293
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 2x - 7 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.

 Jan 11, 2021
 #1
avatar
+1

Area = (x+7)(x+5)-(2x-7)(x+2)

(x+7)(x+5) = x2+12x+35

(2x-7)(x+2) = 2x2-3x-14

(x2+12x+35) - (2x2-3x-14) = -x2+15x+49

 

Guest power

 Jan 11, 2021

1 Online Users