Olivia has a 20 meter-long fence that she plans to use to enclose a rectangular garden of width w. The fencing will be placed around all four sides of the garden so that its area is 18.75 square meters. Write an equation in terms of w that models that situation.

Step-by-step explanation:

Given the perimeter of the rectangular garden = 20 meter

Perimeter of a Rectangle = 2(l+w)

Therefore:

2(l+w)=20

l+w=10

l=10-w

Area of the Garden = 18.75 square meters.

Area of a Rectangle = l X w

lw =18.75

Substituting l=10-w derived earlier

(10-w)w =18.75

The equation in terms of w that models the situation is given as: