Question

the adjacent sides of a rectangle are in ratio 2:3 and its perimeter is 80 cm long find the measure of its sides .
sorry bro I don't use Snap.​

Answer 1

Answer:

It's sides are 48 cm and 32 cm

Step-by-step explanation:

The adjacent sides of a rectangle are length and breadth which is in ratio 2:3

Now let length = 2x and breadth = 3x

Formula of perimeter is:-

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

where, l is length and b is breadth

Given that perimeter = 80 cm

and found that length = 2x and breadth = 3x

We apply this in formula.

$80 = 2(2x + 3x)$

$\frac{ \cancel{80} { \: }^{40} }{ \cancel2} = 5x$

$5x = 40$

$x = \frac{ \cancel{40} \: {}^{8} }{ \cancel5} {}^{ {}^{ } } = 8$

∴ length = 2x = 2 × 16 = 32 cm

breadth = 3x = 3 × 16 = 48 cm