Question

A camp ground consists of 12 square campsites arranged in a line along a beach. The distance from the edge of a campsite to the water at the end of the beach is 5 yards. The area of the campground, including the beach, is 1,248 square yards. What is the width of one campsite/

Answer 1

x=side length of a campsite
12x(5+x)=1248 because each campsite has a length of x and there are 12 and from the top of the camp to the water is the 5 yds + a side length and LW=1248
60x+12x^2=1248
12x^2+60x-1248=0
x^2+5-14=0
(x+7)(x-2)=0
x+7=0 or x-2=0
x=-7 or x=2
x=2 because width can't be negative
the width of one campsite is 2 yds