The area of the rectangular playground enclosure at South School is 500 square meters. The length of the playground is 5 meters longer than the width. How do you find the dimensions of the playground in meters?
See solution below.
Write an equation to solve the problem.
Area of rectangle = L(w)
Assuming that the width measures x meters, the length measures x + 5 meters.
500 = x(x + 5)
As you may already know, a trinomial of the form
0 = (x + 25)(x - 20)
x = -25 and 20
Since a negative length is impossible, the width mesures 20 meters and the length measures 25 meters.
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