Question

14. Two sides of a parallelogram are in the ratio 5 : 3 and its perimeter is 48 cm. Find
the length of each of its sides.
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Answer 1

Answer:

LET P BE THE PERIMETER

LET L BE THE LENGTH (IT IS 5)

LET B BE THE BREATH (IT IS 3)

P = 2(L+B)

48 = 2(L+B)

SUM OF THE RATIO= 5+3 =8

ONE  PART= $\frac{48}{8}$= 6CM

L= 6×5=30CM

B= 6×3=24CM

In a parallelogram opposite sides are equal.

∴The length of each side is 30 cm ,24 cm ,30 cm and 24 cm.

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Answer 2

Let the length be 5x and 3x

Perimeter of parallelogram → 48 cm

As we know

Opposite sides of parellogram are equal.

So,

$5x + 5x + 3x + 3x = perimeter$

$16x = 48$

$x = \dfrac{48}{16}$

$x = 3$

Then, Lengths are:-

$\tt{5x → 5×3 → 15cm}$

$\tt{5x → 5×3 → 15cm}$

$\tt{3x → 3×3 → 9cm}$

$\tt{3x → 3×3 → 9cm}$