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Why does the area formula for a trapezoid work?
The area of this parallelogram is its height (half-height of the trapezoid) times its base (sum of the bases of the trapezoid), so its area is half-height × (base1 + base2). Because the parallelogram is made from exactly the same “stuff” as the trapezoid, that’s the area of the trapezoid, too.
How do you solve a trapezoid problem?
Area of Trapezoid Formula
- Use the sine definition in a right triangle to find the height h of the trapezoid. sin D = h / CD.
- Solve the above for h. h = CD sin D = 2 sin 40.
- Use the formula of the area to obtain the following equation.
- The above equation has only one unknown: AD.
- Solve for AD.
How do you find the perimeter of a trapezoid?
The perimeter of a trapezoid is the sum of the lengths of its four sides. If one or more of the lengths is not known, you can sometimes use the Pythagorean Theorem to find it.
How much is the perimeter of a trapezoid?
To find the perimeter, or the total length of all the sides of the trapezoid, we simply add the lengths of each side. In this trapezoid ABCD, we see that the perimeter of the trapezoid is the sum of AB, BC, DC, and AD: The length of the bottom base, DC, is 4.5. The length of the top base, AB, is 2.
What is the base of a trapezoid?
parallel sides
The parallel sides are called the bases of the trapezoid and the other two sides are called the legs or the lateral sides (if they are not parallel; otherwise there are two pairs of bases).
What is the parameter of trapezoid?
The perimeter of a trapezoid is the sum of the lengths of its four sides. If one or more of the lengths is not known, you can sometimes use the Pythagorean Theorem to find it. Example: Find the area and perimeter of the trapezoid shown.
How do you calculate the area of a trapezoid?
Calculate the area of a trapezoid by identifying the length of the two parallel bases and the height of the polygon. Then, use the formula A = a + b/2 (h), where “a” and “b” are the two parallel base lengths and “h” refers to the height of the polygon. For example, consider Trapezoid G with base lengths of 8 and 10 inches and a height of 4 inches.
What is the equation for the area of a trapezoid?
The formula for the area of a trapezoid is (base 1 + base 2) / 2 x height, as seen in the figure below: The calculation essentially relies on the fact a trapezoid’s area can be equated to that of a rectangle: (base 1 + base 2) / 2 is actually the width of a rectangle with an equivalent area.
How do you find the area of a trapazoid?
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?
Properties. The median line is always parallel to the bases. Adjust the trapezoid above by dragging any vertex and convince yourself this is so. The length of the median is the average length of the bases, or using the formula: A B + C D 2 If one of the bases is zero length, the result is a triangle.