1.) An algae bloom is threatening to cover Grand Lake St. Mary’s near Celina, Ohio. The EPA needs to calculate the surface area of the lake to treat the algae bloom. Estimate the area of the irregular shape.

Given that the base of the triangle is x m, the height is 3m less than twice it's base then the height will be represented by the equation:
(2x-3) m
thus the area will be:
Area=1/2bh
Area=1/2x(2x-3)=17.5
x^2-1.5x=17.5
writing the above equation is quadratic form of ax^2+bx+c=0 we get:
x^2-1.5x-17.5=0