The length of a diagonal of a square is 7V2 millimeters. Find the perimeter of the square. a. 49 millimeters b. 2812 millimeters
c. 28 millimeters d. 98 millimeters

plz help it’s due today

The perimeter is c. 28 millimeters

Step-by-step explanation:

The Perimeter of a Square

The perimeter of a square is the sum of all its side lengths. If the side length  is L, then the perimeter is:

P = 4L

The diagonal of a square is the hypotenuse of a right triangle with both legs of length L.

Applying Pythagora's theorem, we find the length of the diagonal is:

We know the diagonal of a square is

We can find the side length L:

Simplifying:

L = 7 millimeters

Thus, the perimeter is:

P = 4*7 = 28

The perimeter is c. 28 millimeters

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step-by-step explanation:

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