Question

The perimeter of a rectangular garden is 38 feet. The width of the garden is two units less than twice the length. Write a system of linear equations that can be used to determine the dimensions of the garden.

a) L + W = 38
W = 2L - 2

b) 2L + 2W = 38
L = 2W + 2

c) 2L + 2W = 38
W = 2L + 2

d) 2L + 2W = 38
W = 2L - 2

Answer 1

The system of linear equations that can be used to determine the dimensions of the rectangular garden is L + W = 38 and W = 2L - 2.

Step-by-step explanation:

To write the system of linear equations, we can use the given information:

The perimeter of the rectangular garden is 38 feet.

The width of the garden is two units less than twice the length.

Let's call the length of the garden L, and the width of the garden W.

Based on the given information, we can write the following equations:

L + W = 38 (Equation 1)

W = 2L - 2 (Equation 2)

These two linear equations can be used to determine the dimensions of the garden.