The perimeter of a rectangle is 48 in the length of 6 in greater than the width Define a variable and write an equation to represent the situation solve the system by using substitution

Respuesta :

Answer:

Step-by-step explanation:

Let L represent the length of the rectangle.

Let W represent the width of the rectangle.

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(L + W)

The perimeter of a rectangle is 48 in. It means that

48 = 2(L + W)

L + W = 48/2

L + W = 24 - - - - - - - - - 1

the length of the rectangle is 6 in greater than the width. It means that

L = W + 6

Substituting L = W + 6 into equation 1, it becomes

W + 6 + W = 24

2W + 6 = 24

2W = 24 - 6 = 18

W = 18/2 = 9

L = W + 6 = 9 + 6 = 15