Dylan builds a circular enclosure for his dog He uses a tree as the center of the circle. He builds the fence 10.5 yards from th
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Answer:
20m by 80m
Step-by-step explanation:
Let the dimension of the garden be x by y
The garden is fenced on three sides with a perimeter of 120m
Perimeter of the three sides = 2x+y
Therefore:
- 2x+y=120
The Area of the garden =
- xy=1600
From the first equation, y=120-2x
Substitute y=120-2x into xy=1600
xy=1600
x(120-2x)=1600
Recall,
xy=1600
When x=20, 20y=1600===>y=80
When x=40, 40y=1600===>y=40
So we have the pair (20,80) and (40,40).
However since we are told that the garden is rectangular, we pick the dimension with unequal sides.
The dimension of the garden is 20m by 80m.