The sides of the parallelogram are 5.4 and 3.6 cm long. The height drawn to the smaller side is 3 cm.

| September 8, 2021 | education

The sides of the parallelogram are 5.4 and 3.6 cm long. The height drawn to the smaller side is 3 cm. Find the height of the parallelogram drawn to its larger side.

Let’s calculate the area of ​​this parallelogram.

The area of ​​any parallelogram is equal to the product of the length of the side of this parallelogram by the height of the parallelogram, lowered to this side.

According to the condition of the problem, the smaller side of this parallelogram is 3.6 cm, and the height drawn to the smaller side is 3 cm, therefore, the area S of this parallelogram is:

S = 3.6 * 3 = 10.8 cm².

Let us denote the length of the height of this parallelogram drawn to the larger side through x.

According to the condition of the problem, the large side of this parallelogram is 5.4 cm, therefore, using the formula for the area of ​​a parallelogram, we can compose the following equation:

5.4 * x = 10.8.

We solve the resulting equation:

x = 10.8 / 5.4;

x = 2 cm.

Answer: the height of the parallelogram, drawn to its larger side, is 2 cm.



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