Arectangle 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?

First, we determine the area of the original rectangle by multiplying the original length and width. this gives us,                          area = (5 ft)(10 ft) = 50 ft²then, we add the additional area while adding 2x to both dimensions of the rectangle. that is,                            area = (5 + 2x)(10 + 2x) = 50 + 84the value of x from the equation is 2.17. thus, each side is added with approximately 2.17 ft.