Question

Find the perimeter of a square with diagonal 27√2 cm​

Answer 1

${\sf{\underline{\large{Question}}}}$

Find the perimeter of a square with diagonal 27√2 cm

${\sf{\underline{\large{To \: find}}}}$

perimeter of the square

${\sf{\underline{\large{concept \: used}}}}$

✿ Diagonal of the square is given as 27√2 cm. we will find the side of the square by diagonal formula and then subsitute the value of side in perimeter formula of square

$\sf{\underline{\large{solution}}}$

Let us assume the side of Square as a.

So The diagonal of the square is given as -:

${\underline{\boxed{\sf{\color{grey}{Diagonal\: of\: the\: Square= a√2}}}}} \\ \\ \sf \color{pink}{ now \: subsitute} \: the \: value \\ \sf{ \implies \: 27 \sqrt{2} = a \sqrt{2} } \\ \\ \sf{ \implies \: a = 27 \: cm}$

Now the perimeter of the square is given as :-

${\underline{\boxed{\sf{\color{grey}{Perimeter \: of \: the \: Square= 4× a}}}}}$

$\sf{ \implies \:perimetre = 4 \times 27} \\ \\ \sf{ \implies \: perimetre = 108 \: cm}$

so the perimeter of the given square is 108 cm.

_________________________

Power Booster!!

✒️ Area of Rectangle= length× Breath

✒️Area of circle= πr ²

✒️ Perimeter of Rectangle= 2×( length× breath)

✒️Diagonal of Rectangle = √(length)²+ (Breath)²

✒️ Circumference of the circle= 2πr

✒️Area of Square = side ²

✒️Area of triangle= 1/2 × base × height

_________________________

Answer 2

Question

Find the perimeter of a square with diagonal 27√2 cm

To find

perimeter of the square

✿ Diagonal of the square is given as 27√2 cm. we will find the side of the square by diagonal formula and then subsitute the value of side in perimeter formula of square

solution

Let us assume the side of Square as a.

So The diagonal of the square is given as -:

Diagonal of the Square = a√2

now subsitute the value

⟹27

2

=a

2

⟹a=27cm

Now the perimeter of the square is given as :-

Perimeter of the Square =4×a

⟹perimetre=4×27

⟹perimetre=108cm

so the perimeter of the given square is 108 cm.