The height of the trapezoid is 10 and the area is 80. Find the area of the trapezoid.

It is known:

Trapezium;

Trapezium height = 10;

Area = 80.

Find the middle line of the trapezoid.

1) Write down the formula for the midline of the trapezoid.

m = (a + b) / 2;

m is the middle line of the trapezoid;

a and b are the bases of the trapezoid.

2) Write down the formula for the area of a trapezoid.

S = (a + b) / 2 * h;

h is the height of the trapezoid.

S = m * h;

3) Substitute the known values into the formula S = m * h and calculate the midline of the trapezoid.

80 = m * 10;

m = 80/10;

m = 80;

From this we get that the middle line of the trapezoid is 80.