Question

find the area and perimeter of a square whose diagonal is 7√2 cm long

please give correct and detailed answer

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Answer 1

Given

We have given diagonal of square is 7√2cm

To Find

we have to find area and perimeter of square

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

If diagonal of square is given and we have to find area then apply this formula:

Area of square=1/2d²

Area of square= (7√2)²÷2

Area of square= 49×2÷2

Area of square= 98÷2

Area of square=49cm²

Now ,we know that area of square is (side)²

=>(side)²=49

=>side =√49

=>side =7cm

We have side of square= 7cm

and we know that all sides of square are equal.

So, perimeter of square= 4×side

=>Perimeter of square= 4× 7cm= 28cm

Perimeter of square= 28cm

Area of square= 49cm²

Extra information=>

Properties of Square:

• A square is a quadrilateral having 4 sides & 4 vertices.
• All sides of a square are equal.
• Opposite sides of a square are parallel.
• The diagonals of a square bisects each and makes an angle of 90°
• The sum of square of Diagonals is greater than the sum of square of their sides.
• The Diagonals are also equal.