Loading [MathJax]/jax/output/SVG/jax.js
 
+0  
 
0
691
1
avatar+335 

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 (2x3) and (x2). 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+132 
+1

We subtract the area of the bigger square from the area of the smaller square.

 

(x+7)(x+5) = x^2+12x+35

 

The larger rectangle has an expanded area of 2x^2 -7x + 6.

 

We subtract (2x^2 - 7x + 6) - (x^2+12x+35)

 

This gives us x^2 - 19x - 29

 Jun 21, 2020

0 Online Users