The two sides of the parallelogram are 9: 12, and its perimeter is 4 m 62 cm Calculate the lengths of the sides of the parallelogram.

By the condition of the problem, we are given a parallelogram.

Let’s designate the side as X meters, the second – Y meters.

According to the condition of the problem, the perimeter is 4 meters 62 centimeters or 462 centimeters.

And there are always four sides.

We get the equation:

P = 2 * X + 2 * Y.

P = 462.

2 * X + 2 * Y = 462.

X + Y = 231.

Since the aspect ratio is 9: 12.

That is, (9 + 12) = 21.

So, we get the proportions according to the known data:

231 – 21;

X – 9.

21 * X = 9 * 231.

X = 2079/21;

X = 99.

Since the aspect ratio is 9: 12.

That is (9 + 12) = 21.

So, we get the proportions according to the known data:

231 – 21;

Y – 12.

21 * Y = 231 * 12.

Y = 2772/21;

Y = 132.

Answer: Two sides are equal to 99 centimeters, two sides are equal to 132 centimeters.



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