In an isosceles trapezoid, the smaller base is equal to the lateral side and half the larger base.

In an isosceles trapezoid, the smaller base is equal to the lateral side and half the larger base. Find the base of the trapezoid if its perimeter is 50 cm.

1. The smaller base of an isosceles trapezoid is x centimeters.

2. Side x centimeters.

3. Larger base x * 2 = 2x centimeters.

4. Let’s make an equation.

x + x + x + 2x = 50;

5x = 50;

x = 50/5 = 10;

Answer: Smaller base x = 10 centimeters, larger x * 2 = 10 * 2 = 20 centimeters.