Find the sum of the areas of the shaded rectangle and shaded triangle.
24x^2- 32
Practice makes perfect
We want to write an expression that represents the area of shaded region. We can find it by adding the areas of the shaded triangle and shaded rectangle.
Let's first write expressions for the areas.
Area of Rectangle [0.5em]
A_r= l * w [0.5em]
A_r=( 5x)( 4x+1) [1.0em]
Area of Triangle [0.5em]
A_t= 1/2bh [0.5em]
A_t= 1/2( 2x-3)( 4x+1)
The shaded area is equal to A_r+A_t.
A_r+A_t
⇕
(5x)(4x+1)+1/2(2x-3)(4x+1)
Let's use the FOIL Method to simplify it.
