Question

A rectangular garden is designed to be 8ft longer than it is wide. Let x represent the width of the garden. Write an expression for the perimeter in terms of the width x. Write the expression in simplest form.

Answer 1

The perimeter (P) of a rectangle is given by the formula P = 2 × length + width). In this case, the length is specified to be 8 feet longer than the width. The expression for the perimeter in terms of the width x is 4x + 16.

Step-by-step explanation:

The perimeter (P) of a rectangle is given by the formula P = 2 × length + width). In this case, the length is specified to be 8 feet longer than the width.

Let x represent the width of the garden. The length (L) can be expressed as x + 8 since it is 8 feet longer than the width.

The perimeter (P) in terms of the width (x) is then:

P = 2 × (L + x)

P = 2 × ((x + 8) + x)

P = 2 × (2x + 8)

P = 4x + 16

Therefore, the expression for the perimeter in terms of the width x is 4x + 16, and this represents the simplest form of the expression.