Question

If the ratio of adjacent sides of a parallelogram is 3 : 5 and its perimeter is 320 cm, then the length of the longer side will be

Answer 1

Step-by-step explanation:

This is the solution for the problem

Answer 2

Given:-

• Ratio of adjacent sides of parallel sides is 3 : 5

• The perimeter of adjacent side = 320cm

To Find:-

• The length of longer side

Procedure:-

• Let's assume assume length = 3x
• Let's assume breadth = 5x

We know that:-

• Perimeter = 2(length + breadth)

$\sf \blue\implies \green{320 = 2(3x + 5x)}$

$\sf \red \implies \orange{320 = 6x + 10x}$

Let's flip the equation

$\sf \pink \implies \purple{ 6x + 10x = 320}$

$\sf \green\implies \blue{16x = 320}$

$\sf \orange\implies \red{x = \dfrac{320}{16}}$

$\sf\purple \implies \pink{x = 20cm}$

Now

Our ratios were 3x and 5x. Obviously we can make out that 5x is the longer side. We are just asked to find the value of 5x.

So, substituting the value.

$\sf \longrightarrow \: longer \: side \: = 5x$

$\sf \longrightarrow \: longer \: side = 5 \times 20$

$\sf \longrightarrow \: \: longer \: side \: = 100cm$

$\sf \longrightarrow \: smaller \: side = 3x$

$\sf \longrightarrow \: smaller \: side = 3 \times 20$

$\sf \longrightarrow \: smaller \: side \: = 60 cm$

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