Find the larger base of the trapezoid if the length of its midline is 11, and the length of the smaller base is 7.

To solve the problem, we will compose and solve a linear equation.

So, from the condition on it is known that the length of the middle line of the trapezoid is 11, and the length of the smaller base is 7. And we need to find the larger base of the trapezoid.

To solve the problem, we will apply the formula to find the midline of the trapezoid.

Let’s remember the formula:

c = (a + b) / 2.

The middle line of a trapezoid is equal to half the sum of the bases of the trapezoid. Substitute the known values and solve the equation:

11 * 2 = a + 7;

a + 7 = 22;

a = 22 – 7;

a = 15.

Answer: 15.