A group of students want to build three identical rectangular gardens, each of which has a width of x ft. The gardens will be arranged in one of two ways, as

showr by the plans below. The students have 480 ft of fencing and plan to build

a fenc around each of the three gardens. They will also install lighting for the

garders.

Plan A

Plan B

X

x

X

X

X

1. Suppose that the students use all of the fencing. Given that the width of a

small rectangular garden is x ft, write an expression in terms of x for the length

of one of the small rectangular gardens in Plan A. Then write an expression

in terms of x for the length of one of the small rectangular gardens in Plan B.

Explain.