The midline and height of the trapezoid are 23 and 2. Find the area of the trapezoid.

A trapezoid is a quadrilateral in which two sides are parallel (the bases of the trapezoid), and the other two are not parallel (the sides of the trapezoid).
The segment connecting the midpoints of the sides is called the midline of the trapezoid.
The height of the trapezoid is called the segment perpendicular to the bases and enclosed between the bases.
Given: trapezoid, l – middle line of the trapezoid, l = 23; h – height, h = 2.
Find: the area of ​​the trapezium S.
Solution:

1) The area of ​​the trapezoid is equal to the product of the half-sum of the lengths of the bases and the height;

S = ((a + b): 2) * h;

2) The middle line of the trapezoid is parallel to the bases and equal to their half-sum;
l = (a + b): 2;

3) S = l * h; S = 23 * 2 = 46 (unit 2).

Answer: S = 46 units 2.