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

## Example Questions

### Example Question #161 : Plane Geometry

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 #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:

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 #171 : Geometry

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 #6 : 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: