Question

Create a system of equations that represents the situation below

Answer 1

Variables

• L: length of the rectangular garden, in ft

,

• W: width of the rectangular garden, in ft

The perimeter of a rectangle is computed as follows:

`P=2W+2L`

The perimeter of the rectangular garden is 72 ft, then:

`72=2W+2L\text{ (eq. 1)}`

The width is 8 ft more than twice the length, then:

`W=8+2L\text{ (eq. 2)}`

Equations 1 and 2 compose the system of equations.