Question

The formula for the perimeter of a rectangle is P = 2ℓ + 2w, where ℓ is the length and w is the width. The perimeter of a flower garden is 54 feet. Its length is 6 feet more than twice its width. Let the width of the garden be represented by w. Which equation below can be used to describe this situation?

Answer 1

Answer: P= 12+4w

Step-by-step explanation:

Given: The formula for the perimeter of a rectangle is P = 2ℓ + 2w, where ℓ is the length and w is the width.

let w = width of rectangle.

then, length = 6+w

Put this in place of ℓ, we get

Perimeter : P= 2 (6+w)+2w

⇒P= 12+2w+2w

⇒ P= 12+4w

hence, the equation can be used to describe this situation : P= 12+4w