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Why does the formula of a trapezium work?
The formula for the area of a trapezium (or trapezoid) works by averaging the lengths of the two parallel sides (bases) and then multiplying by the height. This approach effectively transforms the trapezium into a rectangle with the same height and an area equivalent to that of the trapezium. By using the average of the bases, the formula accounts for the varying widths at either end, ensuring an accurate calculation of the total area. Thus, the formula ( \text{Area} = \frac{(b_1 + b_2)}{2} \times h ) captures the geometric properties of the shape.
Which of the following is the correct formula to calculate area of a trapezium?
Let's call the parallel sides A and B, and the distance between them as H. The area of the trapezium, or K, is (A+B)H/2. K = (A+B)H/2
What is altitude of trapezium?
The altitude of a trapezium (or trapezoid) is the perpendicular distance between its two parallel sides. It is the shortest distance between these sides and is essential for calculating the area of the trapezium using the formula: Area = (1/2) × (Base1 + Base2) × Height, where Base1 and Base2 are the lengths of the parallel sides.
How is the formula of a trapezoid related to the formula of a parallelogram?
Suppose you have a trapezium whose parallel sides (bases) are of lengths A and B units, and where the height is h units If you flip a trapezium over and append it to the original along one of the bases you will have a parallelogram whose base is A+B units in length and whose height is h units. So 2*Area of trapezium = Area of parallelogram = (A + B)*h
What are the characteristics of a trapezium?
has two parallel sideshas four straight linesThe area of the trapezium is given by the following formula where a and b are the lengths of the parallel sides and h is the perpendicular distance between the parallel sides.
What is the formula for calculating the area of a trapezium?
area of trapezium=1/2{a+b}h
Formula for area of trapezium?
Area = 0.5*(sum of parallel sides)*heightNote: A trapezium in the UK is known as a trapezoid in the USA
Why does the formula of a trapezium work?
The formula for the area of a trapezium (or trapezoid) works by averaging the lengths of the two parallel sides (bases) and then multiplying by the height. This approach effectively transforms the trapezium into a rectangle with the same height and an area equivalent to that of the trapezium. By using the average of the bases, the formula accounts for the varying widths at either end, ensuring an accurate calculation of the total area. Thus, the formula ( \text{Area} = \frac{(b_1 + b_2)}{2} \times h ) captures the geometric properties of the shape.
What is the formula to work out the area of a trapezium?
1 - (a+b) X h 2
What is the formula of area and perimeter of trapezium?
Area = (1/2)*(sum of the parallel sides)*(distance between them)
How do you derive the formula of finding the area of a trapezium?
It is: 0.5*(sum of its parallel sides)*height
Facts about a trapezium?
A trapezium is a quadrilateral (has four sides). Two sides are parellel, but the other two are not. To find the area of it, the formula is: 1/2 h(a+b)
Which of the following is the correct formula to calculate area of a trapezium?
Let's call the parallel sides A and B, and the distance between them as H. The area of the trapezium, or K, is (A+B)H/2. K = (A+B)H/2
What is the formula to find the area of a trapezium?
In UK terms:- Area = 0.5*(sum of parallel sides)*height and measured in square units
How do you work out the area of a trapizuim?
First you write the formula for the area of a trapezium, either from memory or by looking it up. Then you substitute the lengths of the sides in your trapezium for each of the appropriate terms in the formula. Oh, all right: Area = 1/2 (height) x (length of base-1 plus length of base-2).
What is altitude of trapezium?
The altitude of a trapezium (or trapezoid) is the perpendicular distance between its two parallel sides. It is the shortest distance between these sides and is essential for calculating the area of the trapezium using the formula: Area = (1/2) × (Base1 + Base2) × Height, where Base1 and Base2 are the lengths of the parallel sides.
Formula for volume of 3D trapezium?
volume of trapezium = 1/2* (a1+a2)*h* length where a1,a2 are the base areas respectively and h is the height its a good formula but here is a easier one 1/2*(Area of top + Area of bottom)*Height*lenght
