The length and width of a rectangular garden are 16 meters and 11 meters, respectively.A walkway of width x surrounds the garden. Write the equation for the perimeter y of the walkway in terms of x.

A) $y = 8 x + 54$
B) $y = 8 x - 54$
C) $y = 8 x + 27$
D) $y = 4 x + 54$
E) $y = 4 x + 27$

Question

The length and width of a rectangular garden are 16 meters and 11 meters, respectively.A walkway of width x surrounds the garden.  Write the equation for the perimeter y of the walkway in terms of x.
 
A) $y = 8 x + 54$
B) $y = 8 x - 54$
C) $y = 8 x + 27$
D) $y = 4 x + 54$
E) $y = 4 x + 27$

Quizplus · Accepted Answer

The perimeter of the walkway is calculated by adding twice the width of the walkway to both the length and width of the garden, and then multiplying by 2. So, $y = 2[(16 + 2x) + (11 + 2x)] = 2(27 + 4x) = 54 + 8x$.

The Length and Width of a Rectangular Garden Are 16 y=8x+54y = 8 x + 54y=8x+54

The Length and Width of a Rectangular Garden Are 16 $y = 8 x + 54$