The city government is planning to construct a new children's playground.

Question

Itwants to fence in a rectangular ground using one of the walls of a building.

The length of the new playground is 15m longer than its width and its area is

greater than the old playground. The area of the old playground is 2200 m^2. What could be the area of the new playground? What could be its length and width? Is it possible that the value of w is negative? Why?

Answer 1

L = 15m + w

A=Lw > 2200 m^2

= (15+w)w > 2200

w^2 +15w -2200 > 0

w >40 m or >-55 m

L > 55 m or > -40 m

negative sign might be used to indicate direction,+ for North, - for south

for example

but generally lengths are +, so width is greater than 40 and length greater than 55

such as w =41, L=56 m