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Answer:
Length =24 m
Width = 8 m
Step-by-step explanation:
Let us use L to denote the length of the rectangular garden
let us use W to denote the width of the rectangular garden
The perimeter of a rectangle = 2 x (length + width)
Using the variable introduced above we get
Perimeter P = 2(L + W)
We are given that length = 3 times width
This translates to:
L = 3W
Substituting for L in the perimeter equation we get
P = 2(3W + W) = 2(4W) = 8W
We are given P = 64 m
So we get 8W = 64
Dividing by 8 both sides:
8W/8 = 64/8
W = 8
Since L = 3W, L = 3 x 8 = 24
Therefore the dimensions of the rectangular garden are
Length =24 m
Width = 8 m