The area of the trapezoid is 35 dm squared, and its height is 5 dm. Find the base of the trapezoid

| August 8, 2021 | education

The area of the trapezoid is 35 dm squared, and its height is 5 dm. Find the base of the trapezoid, considering that they refer to 3: 4

1. A, B, C, D – the tops of the trapezoid. ВН = 5 decimeters. BC: AD = 3: 4.

2. By the condition of the BC problem: AD = 3: 4. Hence, 4BC = 3AD. BC = 3AD / 4.

3. Calculate the length of the base AD, using the formula for calculating the area (S) of a trapezoid:

S = (BC + AD) / 2 x HВ. We substitute in this expression 3АD / 4 instead of ВС:

5 (3AD / 4 + AD) / 2 = 35;

5 x 7AD / 4 x 2 = 35;

x = 8.

The lower base of the trapezoid is AD = 8 decimeters.

The upper base of the trapezium BC = 3AD / 4 = 3 x 8/4 = 6 decimeters.

Answer: the lower base of the trapezoid AD = 8 decimeters, the upper base of the trapezium BC = 6 decimeters.



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.