Math, asked by arti150177, 10 months ago

the perimeter of a parallelogram is 140 CM if one of the side is longer than the other by 10 cm find the length of each of its sides ​

Answers

Answered by rathourap095
9

Answer: L = 30 , B= 30

Step-by-step explanation:

Perimeter of parallelogram = 2(L+B)

L=B+10 (given)

P = 2(B+10+B)

4B = 120

B = 30cm

L = B+10 = 40cm

Answered by silentlover45
26

\large\underline\pink{Given:-}

  • The perimeter of a parallelogram is 140cm.
  • One of the sides of longer then the other by 10cm

\large\underline\pink{To find:-}

  • Fine the length of each sides ....?

\large\underline\pink{Solutions:-}

  • Let the 1st sides of parallelogram be a = x cm
  • Let the 2nd sides of parallelogram be b = x + 10 cm

perimeter of parallelogram = 2(l + b)

140 = 2(x + x + 10)

140 = 2x + 2x + 20

140 = 4x + 20

4x = 140 - 20

4x = 120

x = 120/4

x = 30

1st side = x

⟹ 30cm

2nd side = x + 10

⟹ 30 + 10

⟹ 40 cm

\large\underline\pink{More \: \: Information:-}

  • Area of parallelogram = base × height
  • perimeter = 2 (l + b)

where,

  • l = length
  • b = breadth
  • a = area
  • p = perimeter
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