Two adjacent sides of a parallelogram are in the ratio of 3:2. The perimeter of it is 72cm. Find the length of each of its sides?

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Two adjacent sides of a parallelogram are in the ratio of 3:2. The perimeter of it is 72cm. Find the length of each of its sides?

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Answer 1 · 2018-04-09T15:09:27

21.6cm and 14.4cm

Explanation:

Let one side be $3 x$ $3x$ and the other $2 x$ $2x$

This makes the perimeter $\Rightarrow$ $=>$ $3 x + 2 x + 3 x + 2 x = 72$ $3x+2x+3x+2x=72$

$10 x = 72$ $10x=72$

$x = 7.2$ $x=7.2$

$3 \times 7.2 = 21.6$ $3xx7.2=21.6$

$2 \times 7.2 = 14.4$ $2xx7.2=14.4$

Answer 2 · 2018-04-09T15:19:31

The longer sides are 21.6cm in length and the shorter sides are 14.4cm in length.

Explanation:

As the opposite sides of a parallelogram are equal in length...
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the perimeter for a parallelogram is the sum of it`s sides. So, the equation would be as follows.

$3 x + 2 x + 3 x + 2 x = 72 c m$ $3x+2x+3x+2x=72cm$

this would be...

$10 x = 72 c m$ $10x=72cm$

solving for x...

$x = \frac{72}{10}$ $x=72/10$

which is... $x = 7.2$ $x=7.2$

now we substitute the value of 'x' in...

$3 x + 2 x + 3 x + 2 x = 72 c m$ $3x+2x+3x+2x=72cm$

we see...

$3 (7.2) + 2 (7.2) + 3 (7.2) + 2 (7.2) = 72 c m$ $3(7.2)+2(7.2)+3(7.2)+2(7.2)=72cm$

i.e...

$21.6 + 14.4 + 21.6 + 14.4 = 72 c m$ $21.6+14.4+21.6+14.4=72cm$

hence the lengths for each sides are as follows...

21.6cm
14.4cm
21.6cm
14.4cm

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Two adjacent sides of a parallelogram are in the ratio of 3:2. The perimeter of it is 72cm. Find the length of each of its sides?

2 Answers

Explanation:

Explanation:

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