A trapezoid ABCD with bases BC = 5 cm and AD = 7 cm is given. The height BE is drawn to the base AD

A trapezoid ABCD with bases BC = 5 cm and AD = 7 cm is given. The height BE is drawn to the base AD and is equal to 12 cm. Calculate the area of the trapezoid.

To solve this problem, you need to know the formula for finding the area of a trapezoid.

Str. = 1/2 (a + b) * h, where a + b is the middle line of a trapezoid, and h is the height of this trapezoid.

1. Find the middle line of the trapezoid:

Wed lin. = BC + AD = 5 + 7 = 12 cm (FK);

2. Multiply the midline by the height:

FK * BE = 12 * 12 = 144 cm2;

3. Find the area of the trapezoid by dividing the area we found by 2:

P. = 144: 2 = 72 cm2.

Answer: Str. = 72 cm2.