Area Math Example 3
Follow the full solution, then compare it with the other examples linked below.
Example 3
mediumFind the area of a trapezoid with parallel sides cm and cm, and height cm.
Solution
- 1 Step 1: Recall the trapezoid area formula: , where and are the parallel sides and is the perpendicular distance between them.
- 2 Step 2: Substitute the given values: .
- 3 Step 3: Compute: cmยฒ.
Answer
The trapezoid area formula averages the two parallel bases and multiplies by the height. This works because a trapezoid can be split into two triangles sharing the same height, and their combined area equals half the sum of the bases times the height.
About Area
The amount of two-dimensional space inside a flat shape, measured in square units.
Learn more about Area โMore Area Examples
Example 1 easy
Find the area of a rectangle with length [formula] cm and width [formula] cm.
Example 2 mediumFind the area of a triangle with base [formula] cm and height [formula] cm.
Example 4 mediumA trapezoid has parallel sides of [formula] cm and [formula] cm, and a height of [formula] cm. Find
Example 5 mediumA parallelogram has base [formula] cm and area [formula] cmยฒ. Find its height.