197k views
0 votes
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 simple terms.

User MagePsycho
by
9.0k points

1 Answer

2 votes

Final answer:

To find the perimeter of a rectangular garden where the length is 8 feet longer than the width, represent the width with x, express the length as x + 8, and use the formula P = 2(length + width) to obtain the simplified expression for the perimeter: P = 4x + 16 feet.

Step-by-step explanation:

The question asks us to write an expression for the perimeter of a rectangular garden in terms of its width, given that the length is 8 feet longer than the width. The width is represented by x. Since the perimeter of a rectangle is given by the formula P = 2(length + width), we first express the length as x + 8 feet.

Substituting the width x and the length x + 8 into the perimeter formula, we get P = 2(x + (x + 8)). Simplifying this expression, we find the perimeter P = 2(2x + 8), which can be further simplified to P = 4x + 16 feet.

User Renukaradhya
by
9.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories