The middle line and height of the trapezoid are 43 and 2. Find the area of the trapezoid.

A trapezoid is a quadrilateral in which only two opposite sides are parallel and the sides are not equal.

In order to find the area of ​​a trapezoid, you need to multiply the half-sum of its bases by the height.

S = (a + b) / 2 ∙ h.

The midline of the trapezoid is the line segment that connects the midpoints of the sides of the trapezoid. It is parallel to the bases, and its length is equal to half the sum of the bases. Accordingly, to calculate the area of ​​the trapezoid, you can multiply the length of the middle line by the height:

S = m ∙ h, where:

S is the area of ​​the trapezoid;

m is the middle line of the trapezoid;

h – height.

S = 43 ∙ 2 = 86 cm2.

Answer: the area of ​​the trapezoid is 86 cm2.