# High School Math : How to find the perimeter of a trapezoid

## Example Questions

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

This figure is an isosceles trapezoid with bases of 6 in and 18 in and a side of 10 in. What is the perimeter of the isoceles trapezoid (in.)?      Explanation:

The perimeter of the isoceles trapezoid is the sum of all the sides.  You can assume the left side is also 10 in. because it is an isoceles trapezoid. ### Example Question #2 : How To Find The Perimeter Of A Trapezoid

Find the perimeter of the following trapezoid:       Explanation:

The formula for the perimeter of a trapezoid is: Where is the base and is the edge

Plugging in our values, we get: ### Example Question #3 : How To Find The Perimeter Of A Trapezoid

Find the perimeter of the following trapezoid:       Explanation:

Use the formula for triangles in order to find the lengths of all the sides and bases.

The formula is: Where is the length of the side opposite the .

Beginning with the side, if we were to create a triangle, the length of the base is , and the height is .

Creating another triangle on the left, we find the height is , the length of the base is , and the side is .

The formula for the perimeter of a trapezoid is: Where is the base and is the edge

Plugging in our values, we get:  ### Example Question #4 : How To Find The Perimeter Of A Trapezoid

Determine the perimeter of the following trapezoid:       Explanation:

The formula for the perimeter of a trapezoid is: ,

where is the length of the base and is the length of the edge.

Plugging in our values, we get: ### Example Question #5 : How To Find The Perimeter Of A Trapezoid

Find the perimeter of the following trapezoid:       Explanation:

The formula for the perimeter of a trapezoid is: ,

where is the length of the base and is the length of the edge.

Plugging in our values, we get: ### Example Question #1 : How To Find The Perimeter Of A Trapezoid

Find the perimeter of the following trapezoid:       Explanation:

The formula for the perimeter of a trapezoid is .

Use the formula for a triangle to find the length of the base and side:  Use the formula for a triangle to find the length of the base and side:  Plugging in our values, we get:   