Question

Find the perimeter of a square if half of a diagonal is equal to 8 inches

Answer 1

Answer:4

Explanation:

Answer 2

The perimeter of a square, if half of a diagonal is equal to 8 inches would be
`32√(2)` inches.

In Mathematics and Geometry, the perimeter of a square can be calculated by using the following formula;

P = 4s

Where:

• P is the perimeter of a square.
• s is the side length of a square.

In Mathematics and Geometry, the side length of a square can be calculated by using this mathematical equation (formula);

Diagonal, d = √2s

d/2 = 8

d = 16 inches.

By solving for s, we have the following side length:

s = 16/√2

s =
`8√(2)` inches.

Now, we can determine the perimeter of the square is given by;

P = 4 ×
`8√(2)` inches.

P =
`32√(2)` inches.