Browse Tag: area of a trapezoid

Finding the Area of a Trapezoid Series

This is the summary of series on how to find the area of a trapezoid. A trapezoid is a quadrilateral ( a figure with four sides), whose two sides are parallel. This series is divided into three parts.

How to Find the Area of a Trapezoid Part 1 discusses the derivation of the formula. The derivation uses the two trapezoids to form a parallelogram and since the formula for finding the area of a parallelogram has been discussed, it can be used for computation.  In this post, an example was also shown on how to find the area of a trapezoid.

trapezoid

How to Find the Area of a Trapezoid Part 2 discusses two examples. The first one is how to find the area given the base and height. The second example is how to look for the height given the base and the area.

How to Find the Area of a Trapezoid Part 3 discusses how to find the base given the height and the area.

That’s it for this post, we will have exercises and quizzes in the next few days.

Good luck!

How to Find the Area of a Trapezoid Part 3

This the third part of a series on finding the area of a trapezoid here in PH Civil Service Review. In the first post, we discussed the derivation of the area of a trapezoid and give a worked example. In the second post, we discussed how to find the area given the base and the height as well as to find the height given the area and the base.

In this post, we are going to find the base, given the height and the area. We continue with the fourth example.

Example 4

A trapezoid has area 65 square centimeters, height 13 cm, and base of 4 cm. Find the other base.

Solution

In this example, we have A = 65, h = 13 and a = 4. We are looking for bContinue Reading

How to Find the Area of a Trapezoid Part 2

In the previous post, we have learned the formula for finding the area of a trapezoid. We derived that the formula for the area A of a trapezoid with base a and b (the base are the parallel sides), and height h is A = \frac{1}{2}h (a + b)

In this post, which is the second part of Finding the Area of a Trapezoid Series, we are going to continue with some examples. We will not only find the area of a trapezoid, but other missing dimensions such as base and height. Now, get your paper and pencils and try to solve the problems on your own before reading the solution.

We have already discussed one example in the previous post, so we start with the second example.  Continue Reading

How to Find the Area of a Trapezoid

We have learned how to calculate the areas of a square, rectangle, parallelogram, and circle. In this post, we are going to learn how to find the area of a trapezoid. This is the first post of Finding the Area of a Trapezoid Series.

A trapezoid is a polygon whose exactly one pair of sides are parallel*. The figure below is a trapezoid where sides a and b are parallel.

trapezoid

Notice that if we make another trapezoid which has the same size and shape as above, flip one trapezoid, and make one pair of the non-parallel sides meet, we can form the figure below. That figure is a parallelogram. Can you see why? Continue Reading