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Answer:
The perimeter of the garden, in meters, is
Step-by-step explanation:
Diagonal of a square:
The diagonal of a square is found applying the Pythagorean Theorem.
The diagonal of the square is the hypothenuse, while we have two sides.
Diagonal of 12m:
This means that , side s. So
Factoring 72:
Factoring 72 into prime factors, we have that:
72|2
36|2
18|2
9|3
3|3
1
So
So, in simplest radical form:
Perimeter of the garden:
The perimeter of a square with side of s units is given by:
In this question, since
The perimeter of the garden, in meters, is