Question

two adjacent side of a parallelogram are in the ratio 5:7.if the perimeter of parallelogram is 72 cm find the lenght of side

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Answer 1

Answer:

Given :-

• Adjacent sides of parallelogram = 5:7
• Perimeter of parallelogram = 72 cm

To Find :-

Length of side

Solution :-

Perimeter :- It is the sum of all sides in a figure.

Let the sides be 5x and 7x.

$\tt \implies \: 5x + 7x + 5x + 7x = 72$

$\tt \implies \: 24x = 72$

$\tt \implies \: x = \dfrac{72}{24}$

$\tt \pink{x = 3 \: cm} \star$

Now,

Let's find Length

Here we have assumed Length as 7x.

Therefore

$\tt \implies length = 7x = 7(3)= 21 \: cm$

$\tt \implies \: breadth \: = 5x = 5(3) = 15 \: cm$

Answer 2

Given:-

• Two adjacent side of a parallelogram are in the ratio of 5 : 7.
• The perimeter of parallelogram o is 72 cm.

To Find:-

• Find the length of the side.

Solution:-

Let the adjacent sides be ' 5x ' and ' 7x '

So,

$\tt \implies { \: 5x \: + \: 7x \: + \: 5x \: + \: 7x \: = \: 72 \: }$

$\tt \implies { \: 24x \: = 72 \: }$

$\tt \implies { \: x \: = \: \frac{72}{24} \: }$

$\tt \implies { \: x \: = 3 \: }$

$\tt { \: Now, \: }$

$\tt { \: The \: adjacent \: sides \: }$

$\tt \implies { \: 5x \: = \: 5(3) \: = \: 15 \: }$

$\tt \implies { \: 7x \: = \: 7(3) \: = \: 21 \: }$

Verification:-

$\tt \implies { \: 5x \: + \: 7x \: + \: 5x \: + \: 7x \: = \: 72 \: }$

$\tt \implies { \: 15 \: + \: 21 \: + \: 15 \: + \: 21 \: = \: 72 \: }$

$\tt \implies { \: 72 \: = 72 \: }$