Carcass wrote:
What is the perimeter, in meters, of a rectangular garden 6 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide?
(A) 48
(B) 56
(C) 60
(D) 76
(E) 192
Kudos for the right answer and explanation
Area of rectangle = (base)(height)Given: (
area rectangular garden 6 meters wide) = (
area of rectangular playground 16 meters long and 12 meters wide)
Let
x = height of rectangular garden
We can write:
(6)(x) =
(16)(12)Divide both sides by 6 to get: x = (16)(2) = 32
So, the rectangular garden is 6 meters wide and 32 meters long
This means the perimeter = 6 + 32 + 6 + 32 = 76 meters
Answer: D
Cheers,
Brent