The difference between the base of the trapezium is 6 cm. And the height is 8 cm.

The difference between the base of the trapezium is 6 cm. And the height is 8 cm. Find the base of the trapezoid if its area = 56 cm2.

1. One base of a trapezoid is equal to x centimeters.

2. Other (x + 6) centimeters.

3. Let’s compose the equation.

(x + x + 6) / 2 * 8 = 56;

(2x / 2 + 6/2) * 8 = 56;

x + 3 = 56/8 = 7;

x = 7 – 3 = 4;

x = 4;

4. One base x = 4 centimeters.

5. Determine the value of the second.

x + 6 = 4 + 6 = 10 centimeters.

Answer: 4 centimeters and 10 centimeters.