Question

a rectangular corn hole area at the recreation center has a width of 5 feet and a length of 10 feet. if a uniform amount is added to each side, the area is increased to 84 square feet. what is the amount added to each side

Answer 1

the answer is add 2 feet on each side!

Explanation:

Answer 2

Let
x-------------> amount added to each side
A-------------> area increased----------> 84 ft²

we know that
A=(10+x)*(5+x)=84-----------> 10*5+10*x+5*x+x²
50+15x+x²=84----------> x²+15x-34=0
solving the second order equation
x1=-17
x2=2

the answer is x=2 ft