Question

The perimeter of a parallelogram is 140 cm. If one of the sides is longer than the other by 10 cm. Find the length of each of its sides.​

Answer 1

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The perimeter of a parallelogram is 140 cm. If one of the sides is longer than the other by 10 cm. Find the length of each of its sides.

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$\sf\green{Given :}$

➣ Perimeter of a parallelogram = 140 cm

➣ One of the side is longer than the other by 10 cm

$\sf\red{To \: Find :}$

➣ The length of each side of the parallelogram

$\sf\pink{Solution :}$

➪ Let, the smaller side = x cm

➪ Let, the longer side = x + 10 cm

➪ Perimeter of Parallelogram = 2(length + Breadth)

⟼ 140 = 2(x + x + 10)

⟼ 140 = 2( 2x + 10)

⟼ $\cancel\frac{140}{2}$ = 2x + 10

⟼ 70 = 2x + 10

⟼ 70 - 10 = 2x

⟼ 60 = 2x

⟼ $\cancel\frac{60}{2}$ = x

⟼ 30 cm = x

➙ Smaller side = x = 30 cm

➙ Longer side = x + 10 = 30 + 10 = 40 cm

➦ So, the measure of the smaller side is 30 cm and the measure of the longer side is 40 cm

Answer 2

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