List the ordered pairs for the vertices in counterclockwise order, repeating the first ordered pair at the bottom of the list.
Find D, the sum of the downward diagonal products (from left to right.)
Find U, the sum of the upward diagonal products (from left to right.)
Use the formula A=1/2(D-U) to find the area.
This works for any closed polygon.
Example: Consider the trapezoid bounded by the points, (0, 0), (1, 2), (4, 2), and (4, 0). Write the list:
(0, 0)
(4, 0)
(4, 2)
(1, 2)
(0, 0)
Find D = 0*0 + 4*2 + 4*2 + 1*0 = 16
Find U = 4*0 + 4*0 + 1*2 + 0*2 = 2
Find A = 1/2 (D-U) = 1/2(16-2) = 1/2(14) = 7sq units
You have to cut the trapezoid into three shapes. The three shapes will be two triangles and one rectangle or square. You have to find the area of these three shapes and then add all of the three areas up to find the area of the trapezoid.
The height of the trapezoid is also needed to find its area which is as follows:- Area of a trapezoid = 0.5*(sum of bases or parallel sides)*height
Height of trapezoid = 2*area/sum of parallel sides
The trapezoid is a plane figure which has surface Area, but no volume but if there was a 3d figure your equation would be. The Surface Area of a trapezoid = ½(b1+b2) x h X Height of figure.
Area = 1/2*(sum of parallel sides)*height
You have to cut the trapezoid into three shapes. The three shapes will be two triangles and one rectangle or square. You have to find the area of these three shapes and then add all of the three areas up to find the area of the trapezoid.
what trapezoid
Once you know the coordinates, you can use the distance formula to find the lengths of the sides, then using that, you can find the area.
Area of a trapezoid: 0.5*(sum of its parallel sides)*height
BASExHIEGHT=AREA
answer
Area of a trapezoid = 0.5*(sum of parallel sides)*height
The height can be found by dividing the area by the sum of the bases and multiplying the result by 2
The height of the trapezoid is also needed to find its area which is as follows:- Area of a trapezoid = 0.5*(sum of bases or parallel sides)*height
To measure the area of a trapezoid, you can use the formula: Area = (1/2) * (sum of the lengths of the parallel sides) * (height). Simply add the lengths of the two parallel sides together, multiply by the height, and then divide by 2 to find the area of the trapezoid.
Area of a trapezoid: 0.5*(sum of parallel sides)*height
The area of a trapezoid is equal to the height, multiplied by the average of the two widths.