Question

the ratio of two sides parellogram is 2:7 it's perimeter is 54m find the sides of the parellogram ​

Answer 1

$\Large{\underline{\underline{\bf{GivEn:-}}}}$

• Ratio of the sides of parallelogram is 2:7
• Perimeter of parallelogram is 54 m

$\Large{\underline{\underline{\bf{To \: FiNd:-}}}}$

• What are the sides of a parallelogram ?

$\Large{\underline{\underline{\bf{SoLuTion:-}}}}$

Let 'x' be the common in given ratios

• ONE SIDE = 2x
• ANOTHER SIDE = 7x

To find the perimeter of parallelogram, we use the formula:-

$\large{\boxed{\bf{\star \: P = 2(Side_1 + Side_2) \: \star}}}$

According to question:-

➜ 54 = 2(2x + 7x)

➜ $\sf{\cancel\dfrac{54}{2}}$ = 9x

➜ 27 = 9x

➜ $\sf{\cancel\dfrac{27}{9}}$ = x

❮ 3 = x ❯

✧ ONE SIDE = 2(3) = 6 m

✧ ANOTHER SIDE = 7(3) = 21 m

❝ Hence, the sides of a parallelogram is 6 m and 21 m ❞

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