Question

The diagonal of a square is 5√2 cm.What is the perimeter of the square and area

Answer 1

Answer:

the area of square is 25 CM square and perimeter is 20 cm

Answer 2

The perimeter of the square is 20 cm and area is 25 sq. cm.

Explanation:

• A square has all its side equal.
• The measure of all interior angles in square is 90°.
• Diagonal  of square make right angle triangle.

Let a be the side-length of the square.

If the diagonal of a square is 5√2 cm.

Then, by Pythagoras theorem , we have

$a^2+a^2=(5\sqrt{2})^2\\\\ 2a^2=50\\\\ a^2=25\\\\ a=5$

Thus , the side of square is 5 cm

Then, Perimeter of square = 4(side) = 4(5) = 20cm

Area of square = (side)² =(5)² = 25 sq. cm

Hence, the perimeter of the square is 20 cm and area is 25 sq. cm.

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The area of a rombus is 1428 cm square and it's perimeter is 136 cm.What is it's altitude ?

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