Question

Сторона параллелограмма в 5 раз больше за высоту , проведенную к ней .Найдите эту сторону , если площадь парралелограмма равна 45 см

Answer 1

S=a*h
a=5h
5h*h=45
5h²=45
h²=9
h=3.

Answer 2

Finding the Side of a Parallelogram

To find the side of a parallelogram when the height is 5 times smaller than the side, we can use the formula for the area of a parallelogram: Area = base x height.

Let's assume the side of the parallelogram is represented by x. Since the height is 5 times smaller than the side, the height can be represented as x/5.

Given that the area of the parallelogram is 45 cm², we can set up the equation:

45 = x * (x/5)

Simplifying the equation, we have:

45 = (x²)/5

To solve for x, we can multiply both sides of the equation by 5:

225 = x²

Taking the square root of both sides, we find:

x = ±15

Since the length of a side cannot be negative, we can conclude that the side of the parallelogram is 15 cm.

Please note that the solution assumes the height is perpendicular to the base of the parallelogram.