Question

A rectangle has dimensions 12 cm x 6 cm. If you draw a square of the same
perimeter, what will its area be?​

Answer 1

Answer:

$81 {cm}^{2}$

Step-by-step explanation:

$lenght = 12cm$

$breadth = 6cm$

$perimeter \: of \: a \: rectangle \: = 2(l + b)$

$2(12 + 6)$

$2 \times 18$

$36cm$

$perimeter \: of \: the \: square \: = \: perimeter \: of \: the \: rectangle$

$36cm = 36cm$

$perimeter \: of \: the \: square \: = 36cm$

$side \: = \frac{36}{4}$

$side = 9cm$

$area \: of \: the \: square \: = {a}^{2}$

$a = 9cm$

${9}^{2}$

$81 {cm}^{2}$

$area \: of \: the \: square \: = 81 {cm}^{2}$

Hope it helps you