The middle line of the trapezoid is 7 cm, and one of its bases is 4 cm larger than the other. Find the base of the trapezoid.

In order to find the base of the trapezoid, we will compose and solve the equation.

Let’s start by analyzing the problem statement. It is known that the middle line of the trapezoid is 7 cm, and one of its bases is 4 cm larger than the other.

We denote by the variable x cm the length of one of the bases, then the length of the second base is (x + 4) cm.

To find the midline, use the formula:

(a + b) / 2 = m;

(x + x + 4) / 2 = 7;

2x + 4 = 14;

2x = 14 – 4;

2x = 10;

x = 10: 2;

x = 5 cm smaller base and 5 + 4 = 9 cm larger base.