Question

10. The length of the diagonal of a square is 50 cm, find the perimeter of the square.

Answer 1

Answer:

141.42

Step-by-step explanation:

The diagonal of a square is given as, √2 × side. Rearranging this formula to calculate the side of the square, we get, side = diagonal/√2 = (√2 × diagonal)/2 . Thus, the perimeter of the square can be calculated using the formula, P = 2√2 × diagonal.

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Answer 2

Answer:

   $2\sqrt{2} *50=141.421 cm$

Step-by-step explanation:

In geometry, a square is a two-dimensional plane figure with four equal sides and all four angles equal to 90 degrees. A square is a regular quadrilateral that has all four sides the same length and all four angles are equal. The angles of a square are at right angles or equal to 90 degrees. Also, the diagonals of a square are equal and bisect each other at 90 degrees.

A square can also be defined as a rectangle where two opposite sides have the same length.

The most important features of the square are given below:

• All four interior angles are equal to 90°
• Opposite sides of a square are parallel to each other
• The diagonals of the square bisect each other at an angle of 90°
• Two diagonals of a square are equal to each other
• A square has 4 vertices and 4 sides
• The diagonal of a square divides it into two similar isosceles triangles

The diagonal of a square is given as, $\sqrt{2}*side$. Rearranging this formula to calculate the side of the square, we get, side = $\frac{diagonal}{\sqrt{2} }$ = $\sqrt{2} *\frac{diagonal}{2}$. Thus, the perimeter of the square can be calculated using the formula, P = $2\sqrt{2} *diagonal$

Now on putting the value of diagonal, we get;

$2\sqrt{2} *50=141.421 cm$

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