The height of the parallelogram divides the side to which it is drawn on a segment of 3 cm and 14 cm

The height of the parallelogram divides the side to which it is drawn on a segment of 3 cm and 14 cm. Find this height, if the area of the parallelogram is 340 cm ^ 2, find the sum of the angles of the heptagon

The parallelogram area is found by multiplying the height by the base to which the height is drawn;

If the height divides the base of the parallelogram into segments equal to 3 cm and 14 cm, then you can find the length of the base by adding these segments:

3 + 14 = 17 cm;

Let’s make an equation to find the height of the parallelogram, knowing the area;

Let x be the height of the parallelogram;

Then 17x is the area of the parallelogram;

17x = 340;

x = 340/17;

x = 20 cm.

Answer: the height of the parallelogram is 20 cm.