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Write an expression for the shaded region.

 

 Aug 26, 2020
 #1
avatar+1039 
+1

To calculate this, we first need to "find" the area of both shapes: the big rectangle and the small rectangle.

 

BIG RECTANGLE: 

4x * (x + 2) = 4x^2 + 8x

 

SMALL RECTANGLE:

x * (3x + 5) = 3x^2 + 5x

 

[ shaded area ] = [ big rectangle area ] - [ small rectangle area ]

 

This is 4x^2 + 8x - (3x^2 + 5x) = 4x^2 + 8x - 3x^2 - 5x = x^2 + 3x

 

:)

 Aug 26, 2020
 #2
avatar+230 
0

Big rectangle is 4x^2+8x

Smaller rectangle is 3x^2+5x

4x^2+8x-3x^2+5x=x^2+13x is our final answer.

 Sep 4, 2020

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