Question

Janice puts a fence around her rectangular garden. The garden has a length that is 9 feet less than 3 times the width. Which system of equations represents is the dimensions of the rectangular garden if the perimeter is 63?

Answer 1

Explanation:

Let the width of the garden be b and its length is 9 feet less than 3 times the width.

Length = 3b-9 ...(1)

The perimeter of the garden = 63

We need to find the system of equations that represents is the dimensions of the rectangular garden.

Perimeter = 2(l+b)

63 = 2(3b-9+b) [from equation (1)]

31.5 = (3b-9+b)

31.5 = (4b-9)

31.5+9 = 4b.....(2)

b = 10.12

Hence, the equations are showsn in equation (1) and (2).