Question

Two adjacent sides AB and BC of a parallelogram ABCD are in the ratio
5 : 3. If the perimeter is 200 cm, what is the length of AB and BC ?

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

• The measures of the dimensions are 62.5 cm and 37.5 cm

Step-by-step explanation:

Given:-

• Two adjacent sides AB and BC of a parallelogram ABCD are in the ratio  5 : 3.
• The perimeter of the parallelogram is 200 cm

To Find:-

• The measure of the sides AB and BC

Assumptions:-

• Let the side AB be considered as 5x
• Let the side BC be considered as 3x

Formula Used:-

• The perimeter of a parallelogram is 2(a + b)

Full Solution:

↠ According to the question -

$\longrightarrow \sf Perimeter = 2( a + b )$

$\longrightarrow \sf 200 = 2( 5x + 3x )$

$\longrightarrow \sf 200 = 2( 8x )$

$\longrightarrow \sf 200 = 16x$

$\longrightarrow \sf {\pink{\boxed{\frak{ x = 12.5}}}\purple\bigstar}$

↠ Now let's find the dimensions -

• AB = 5x = 5(12.5) = 62.5cm
• BC = 3x  = 3(12.5) = 37.5cm

Verification:-

$\rightarrow \tt \qquad 200 = 2(a + b )$

$\rightarrow \tt \qquad 200 = 2( 62.5 + 37.5 )$

$\rightarrow \tt \qquad 200 = 2( 100 )$

$\rightarrow \qquad \sf {\pink{\boxed{\frak{ 200 = 200}}}\purple\bigstar}$

• Hence verified..!!

Therefore:-

• The measures of the dimensions are 62.5 cm and 37.5 cm

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