Question

If perimeter of a parallelogram with one side as 10cm is 36cm, then find the length of other side.
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Answer 1

A n s w e r

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G i v e n

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• Perimeter of parallelogram is 36 cm

• One side of parallelogram is 10 cm

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F i n d

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• The other side of parallelogram

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S o l u t i o n

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• Let the other side of parallelogram be 'x'

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We know that ,

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$\underline{\bold{\texttt{Perimeter of parallelogram :}}}$

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➠ P = 2(a + b) ⚊⚊⚊⚊ ⓵

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Where ,

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• P = Perimeter

• a = side

• b = base

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$\underline{\bold{\texttt{For given parallelogram :}}}$

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• P = 36 cm

• a = 10 cm

• b = x

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⟮ Putting the above values in ⓵ ⟯

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: ➜ P = 2(a + b)

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: ➜ 36 = 2(10 + x)

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: ➜ 10 + x = 36/2

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: ➜ 10 + x = 16

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: ➜ x = 16 - 10

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: : ➨ x = 6 cm

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• Hence the other side of parallelogram is 6 cm

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Additional information

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Area of parallelogram

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• b × h

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Where ,

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➻ b = Base

➻ h = Height

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Answer 2

Perimeter = 36 cm

Side = 10 cm

Base = x

P = 2(a + b)

36 = 2(10 + x)

10 + x = 36/2

10 + x = 16

x = 16 - 10

x = 6 cm