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

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

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step-by-step explanation: