Question

The area of the rectangular playground enclosure at Happy Times Nursery School is 600 meters. The length of the playground is 25 meters longer than the width. Find the dimensions of the playground. Use an algebraic solution.

Answer 1

 

The solution would be like this for this specific problem:

 

Area = L * W = 600 
Length = W + 25

Substitute and solve for "W":
(W + 25)W = 600

w^2 + 25w - 500 = 0
(w - 15) (w + 40) = 0
Positive solution:
Width = 15 meters
Length = 15 + 25 = 40 meters

 

So, the dimensions of the playground using an algebraic solution is 15 meters by 40 meters.  

To add, the minimum number of coordinates needed to specify any point within it is the informal definition of the dimension of a mathematical space.