In a parallelogram, the side is 15 cm, and the height drawn to it is 4 cm

In a parallelogram, the side is 15 cm, and the height drawn to it is 4 cm. In a rectangle equal to this parallelogram, the sides are related as 3: 5. find the smaller rectangle.

Determine the area of the parallelogram.

Savsd = AD * CH = 15 * 4 = 60 cm2.

Let the smaller side of an equal rectangle be 3 * X cm, then its larger side will be 5 * X cm.

Then the area of the rectangle is: 3 * X * 5 * X = 60.

15 * X = 60.

X = 60/15 = 4.

Then the smaller side is: 4 * 3 = 12 cm.

Answer: The smaller side of the rectangle is 12 cm.