The smaller side of a rectangular trapezoid is 4 cm.Find the middle line of the trapezoid if its area is 36 cm2

A rectangular trapezoid is called, in which one side is perpendicular to its bases.

In a rectangular trapezoid, the smaller side is equal to its height.

BH = CD.

And the area of the trapezoid is equal to the product of its midline by the height:

S = m h.

Therefore, to calculate the midline of a given trapezoid, you need to divide its area by height:

m = S / h;

m = 36/4 = 9 cm.

Answer: The length of the middle line of the trapezoid is 9 cm.