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.
February 7, 2021 | education
| 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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