Question

the length and breadth of a rectangle are in the ratio 3 is to 2 if its area is 216 CM square then its perimeter is

Answer 1

let length be 3x cm and breadth be 2x cm
$so \: area \: be \: = 3x \times 2x = 6 {x}^{2} {cm}^{2}$
now
$6 {x}^{2} = 216 \\ or. \: {x}^{2} = \frac{216}{6} = 36 \\ or. \: x = \sqrt{36} = 6 \: \: \\ (as \: length \: cannot \: be \: negative)$
now length be = 3×6= 18 cm and breadth be =2×6 = 12 cm
so perimeter of the rectangle be =2(18+12)= 2×30 =60 cm

Answer 2

sorry x=6 I have done wrongly