Write an expression in terms of l that represents the width of the garden (in meters). , Write an expression in terms of l that represents the area of the garden (in meters)

Question

A farmer has 90 meters of fencing to enclose a rectangular garden that has one side of the garden against a barn.

Let l represent the length of the rectangular garden (in meters). (Notice that the 90 meters of fencing is needed for only 3 sides of the garden.)

Suppose the length of the garden is 5 meters (l=5).

how do i write this in terms of l?

Answer 1

P=2l+2w, but one length is missing

P=l+2w

90=l+2w

90-l=2w

w=(90-l)/2

A=l*w

A=l*((90-l)/2) or...

A=(90l-l^2)/2