The perimeter of a rectangular flower garden is 46 feet. Find the length and width of the garden if the length is one less than twice the width.

Answer 1

Let W = Width in feet

Let L = 2W - 1

Given the PERIMETER of the rectangle = 46 feet.

(2W - 1) + W + (2W - 1) + W = 46 (Adding the length of all 4 sides.)

6W - 2 = 46 (Combining terms)

6W = 48 (Adding 2 to both sides)

W = 8 feet (Dividing both sides by 6)

L = 2W - 1 = (2)(8) - 1 = 16 - 1 = 15 feet

ANSWER: Length = 15 feet and the Width = 8 feet

CHECKING: 2L + 2W = (2)(15) + (2)(8) = 30 + 16 = 46

Hope this helped you Sabrina.