Question

The perimeter of a parallelogram is 180 cm.One of its sides is greater than the other by 30 cm Find the length of the sides of the parallelogram​

Answer 1

GIVEN:

• Perimeter of parallelogram = 180 cm
• One of its sides is greater than the other by 30 cm

TO FIND:

• What is the length of the parallelogram ?

SOLUTION:

We have given that, one of its sides is greater than the other by 30 cm

Let the one side of the parallelogram be 'x' cm and other be x + 30 cm

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

$\large{\boxed{\bf{\star \: PERIMETER = 2(L + B) \: \star}}}$

${\underline{\underline{\bf{According \: To \: Question:-}}}}$

➜ 180 = 2(x + x + 30)

➜ $\sf{\cancel\dfrac{180}{2}}$ = 2x + 30

➜ 90 = 2x + 30

➜ 90 –30 = 2x

➜ 60 = 2x

➜ $\sf{\cancel\dfrac{60}{2}}$ = x

❮ 30 cm = x ❯

• BREADTH = x = 30 cm
• LENGTH = x + 30 = 30 + 30 = 60 cm

❝ Hence, the Length of the parallelogram is 60 cm and the Breadth of the parallelogram is 30 cm ❞

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Answer 2

Solution

Given :-

• The perimeter of a parallelogram is 180
• One of its sides is greater than the other by 30 cm

Find :-

• the length of the sides of the parallelogram

Explanation

Using Formula,

★ Perimeter of parallelogram = 2 * [ Length + breath ]

opposite sides of a parallelogram are equal .

Let,

• ABCD be a parallelogram

where,

• AB = CD = x cm

A/C to question,

(One of its sides is greater than the other by 30 cm)

• BC = DA = (x+30)

Now,

➡ Perimeter of parallelogram = 2 *[x + (x+30)]

➡ 180 = 2 * [ 2x + 30]

➡ (2x+30) = 180/2

➡ (2x+30) = 90

➡ 2x = 90 - 30

➡2x = 60

➡x = 60/2

➡ x = 30

Hence

• Side of AB = x = 30 cm
• Side of CD = x = 30 cm
• Side of BC = (x+30) = (30+30) = 60cm
• side of DA (x+30) = 60cm

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