Question

Polynomial Equation: Write a polynomial that describes the area of the shaded figure. Show the steps mathematically and explain each step in words. The shaded figure is the rectangle in grey minus the white rectangle.

Answer 1

The area for grey rectangle = (14y-5)6y
The area for white rectangle = 3y(3y+5)
S= The area for shaded rectangle = 6y(14y-5)-3y(3y+5)

S= 84$y^{2}$-30y-9$y^{2}$-15y
S=75$y^{2}$-45y (divide by 15)
S=5$y^{2}$-3y