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mamaluj [8]
3 years ago
14

A square garden has a diagonal of 12m. What is the perimeter of the garden? Express in simplest radical form.

Mathematics
1 answer:
FromTheMoon [43]3 years ago
7 0

Answer:

24√2

Step-by-step explanation:

Let the side of the square be x

If the diagonal is 12m (hypotenuse), then;

x^2 + x^2 = 12^2

2x^2 = 144

x^2 = 144/2

x^2 = 72

x = √72

x = √36*2

x = 6√2

Perimeter of the square garden = 4x

Perimeter of the square garden = 4(6√2)

Perimeter of the square garden = 24√2

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