Area Of A Trapezoid Formula Math

Given a trapezoid if we form a congruent trapezoid and rotate it such that the two congruent trapezoids can be joined together to form a parallelogram as shown by the congruent black and grey trapezoids below. Average width altitude. By substituting these values in the above equation we can find the area of the trapezoid.

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The area of a trapezoid equation or formula is.

Area of a trapezoid formula math. The area a of a trapezoid is. It s the same one you use for the area of a rectangle. The formula for the area of a trapezoid is a b 1 b 2 h where b 1 and b 2 are the lengths of the bases and h is the height. B1 b2 are the lengths of each base.

A a b h 2 a a b h 2 here a a and b b are the lengths of the parallel sides of the trapezoid and h h is the height or the altitude or the distance between the two parallel sides of the trapezoid. Finding the area of a trapezoid is straightforward with one simple formula. The area of a trapezoid whose bases are a and b and whose height is h is calculated using the formula. Area a b 2 h a r e a a b 2 h.

Area of a trapezoid. When you re finished just label your units. The area of a trapezoid formula. In the formula the long and short bases are a a and b b and the altitude is h h.

A a b x h 2 when a b with both lengths the same then c d h. Try this drag the orange dots to move and resize the trapezoid. Area formula of a trapezoid. A dfrac a b h 2 the area of a trapezoid formula can be proved in two ways which you can learn under the section formula of area of a trapezoid.

Area of a trapezoid formula the formula for the area of a trapezoid is the average of the bases multiplied by the altitude. If you only know the side lengths of a regular trapezoid you can break the trapezoid into simple shapes to find the height and finish your calculation. The area of a parallelogram is a bh. Does that formula look familiar.

As the size of the trapezoid changes the area is recalculated. Where h is the height and b 1 and b 2 are the base lengths. Next simplify the formula to a a x h. The number of square units it takes to completely fill a trapezoid.

Area h x b1 b2 2 where. H is the altitude height. 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.