Question

What is the area of a square whose perimeter is 32cm

Answer 1

Answer:

Perimeter of square = 4a=32cm

thus,side of squar,a=8cm

area of square =a²=8×8=64cm²

Answer 2

✯ ᴀɴsᴡᴇʀ ✯

★ given →

☞︎︎︎ perimeter of a square is 32cm

★ to find →

☞︎︎︎ area of the square?

★ solution →

☞︎︎︎ we have perimeter of the square is 32cm

and we know that,

$\pink{\bold{perimeter \: of \: square \: = 4 \times side}}$

${ \tt➪ \: 4 \times side = 32cm} \\ \\{ \tt ➪ \:side = \cancel{\frac{32}{4} } } \: \: \: \: \: \: \: \: \: \: \\ \\ { \tt➪ \: side = 8cm} \: \: \: \: \: \: \: \: \:$

so, magnitude of each side of the square is 8cm

now we have to find the area of the square,

we know that,

$\pink{ \bold{area \: of \: square = {side}^{2} }}$

${ \tt➪ \: a = {side}^{2} } \\ \\ { \tt➪ \: a = {8}^{2} } \: \: \: \: \: \: \: \\ \\ { \tt \: ➪ \: a =64 {cm}^{2} } \:$

hence, area of the square is 64cm²