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?
1 Answer
See solution below.
Explanation:
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)
500 =
0 =
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.
Practice exercises:

A rectangle has a perimeter of 90 meters. Find the maximum area.

The area of a right triangle is 120
#m^2# . The base measures half the sum of the height and one. Find the perimeter. 
Find the area and perimeter of a right triangle the has a height that is 2 more than the double of the width and that has a hypotenuse that measures
#sqrt68# meters.
Good luck!