# ACT Math : How to find the length of the side of a trapezoid

## Example Questions

### Example Question #1 : How To Find The Length Of The Side Of A Trapezoid

Given the height of a trapezoid is  and a base length is , what is the length of the other base if the area of the trapezoid is ?

Explanation:

Write the formula used to find the area of a trapezoid.

Substitute the given information to the formula and solve for the unknown base.

### Example Question #2 : How To Find The Length Of The Side Of A Trapezoid

is an isosceles trapezoid that is bisected by .

. If , and , then what is the length of ?

Explanation:

We know that all three horizontal lines are parallel to one another. By definition, we can set up a ratio between the lengths of the sides provided to us in the question and the lengths of the two parallel lines:

Once we substitute the given information, we get

We cross multiply to solve for EF