Calculate the area of an isosceles trapezoid, the perimeter of which is 32 cm

Calculate the area of an isosceles trapezoid, the perimeter of which is 32 cm, the length of the lateral side is 5 cm, and its height is 4 cm.

Since, by condition, the trapezoid is isosceles, then AB = СD = 5 cm.

The perimeter of the trapezoid is: P = (BC + AD) + AB + CD = 32 cm.

(BC + AD) = 32 – AB – CD = 32 – 5 – 5 = 22 cm.

The area of the trapezoid is:

Savsd = (DC + AD) * CH / 2 = 22 * 4/2 = 44 cm2.

Answer: The area of the trapezoid is 44 cm2.



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.