## What is the formula for trapezoids area?

Area of a trapezoid is found with the formula, A=(a+b)/2 x h. Learn how to use the formula to find area of trapezoids.

**Why does the formula for area of a trapezoid work?**

The two parts fit together to make a parallelogram whose base is the sum of the two bases of the trapezoid, but whose height is half the height of the trapezoid. Because the parallelogram is made from exactly the same “stuff” as the trapezoid, that’s the area of the trapezoid, too.

### How do you find the area of a trapezoid using the Pythagorean Theorem?

Explanation: To solve this question, you must divide the trapezoid into a rectangle and two right triangles. Using the Pythagorean Theorem, you would calculate the height of the triangle which is 4. The dimensions of the rectangle are 5 and 4, hence the area will be 20.

**What is the area in square meters of the trapezoid below?**

The area of the trapezoid is 92.4 m 2.

## How do you find the perimeter with the area?

Divide the perimeter by 4: that gives you the length of one side. Then square that length: that gives you the area. In this example, 14 ÷ 4 = 3.5.

**How do you solve area of trapezoid?**

To find the area of a trapezoid, take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2, The formula for the area of a trapezoid is: or. Where is , is , is height and · means multiply. Each base of a trapezoid must be perpendicular to the height.

### What is the formula to find the median of a trapezoid?

We can calculate the median of a Trapezoid using the following formula: Median = (a+b) / 2. If we know the Median and height then we can calculate the Area of a Trapezoid as: median*height.

**How is the area formula for a trapezoid derived?**

Area of Trapezoid | Formula The area of a trapezoid is given by its height multiplied by the sum of its top length and bottom length divided by two. Area of Parallelogram | Formula

## What is the formula for perimeter of a trapezoid?

The formula for the perimeter of a trapezoid is base 1 + base 2 + side a + side b, as seen in the figure below: You need more measurements for a trapezoid, as it is a more complex form in which all sides can have a different length.