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

Given
Perimeter = 140 cm
Length (l)= x+ 10 cm
Breadth (b)= x cm

Solution,
Perimeter = 2(l+b)
140= 2 * (x+10+x)
140= 2 * (2x+10)
140= 4x + 20
140 - 20 = 4x
120 = 4x
x = 120/4
x= 30

Length = x+ 10 cm
= 30+10 cm
= 40 cm

Breadth = x
= 30 cm

Hope it will help you.

Answer 2

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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

➙ The Measure of the Smaller side = x = 30 cm

➙The Measure of the Longer side = x + 10 = 30 + 10 = 40 cm

➦So, the smaller side measures 30 cm and the longer side measures 40 cm