Geometry

# How is the formula for the area of a trapezoid related to the formula for a area of a parallelogram?

012 ###### 2015-03-14 10:54:59

They both use perpendicular height and are in square units.

Area of a trapezoid = 0.5*(sum of parallel sides)*perpendicular height

Area of a parallelogram = base*perpendicular height

🎃
0
🤨
0
😮
0
😂
0

## Related Questions The area formula for the parallelogram is related to the area formula for a rectangle because you can make the parallelogram into a rectangle to find the area. Area of a triangle = 0.5*base*perpendicular height Area of a parallelogram = base*perpendicular height The formula for the area of a parallelogram is: base*perpendicular height = area and in this case it is 18,532 square meters. But it's interesting to note that the formula for the area of a trapezoid will work out perfectly well for the area of any quadrilateral that has parallel sides. For instance insert the dimensions of the parallelogram in question into the trapezoid formula: 1/2*(226+226)*82 = 18,532 square meters. Yes, certainly. The trapezoid area is one half sum of bases times height and the parallelogram area is base times height If the base of the parallelogram is equal to 1/2 the sum of he trapezoid bases, they have the same area For a parallelogram, take the base times the height. For a trapezoid, take the smaller base and times it by the height.   The formula for the area of a trapezoid is A = 1/2 (b1 + b2)/h where b1 is the upper base of the trapezoid , b2 is the lower base of the trapezoid and h is the height of the trapezoid. Since a triangle has only one base , replace either b1 or b2 with zero. Thus the area of a triangle is A = 1/2bh The formula for area of a parallelogram is the base times the height (BXH=Area). The formula for area of a parallelogram is bh. Base times height. The formula for the area of a parallelogram is A = b * h. Or area equals base times height. 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  A parallelogram is a degenerate trapezoid: as the longer of the parallel sides of a trapezoid shrinks to the length of the shorter parallel side, the trapezoid becomes a parallelogram. It is truer to say that the area of a trapezoid helps to find the area of a parallelogram: area_trapezoid = mean_average_of_parallel_sides x distance_between_them = 1/2 sum_parallel_side_lengths x distance_between_them When the parallel sides are of equal length this becomes: area = (1/2 x 2 x length_of_parallel_sides) x distance_between_them = length_of_parallel_sides x distance_between_them = area_parallelogram Area of a trapezoid = 0.5*(sum of parallel sides)*height A formula is needed to find the area of a parallelogram. It is a very simple formula which notates Area = base x height. It is base x height for the parallelogram. That is twice the area of a triangle which is: 1/2 base x height. (Base and height being the same for both cases). The formula to find the surface area of a parallelogram is Base*Height. Area of a trapezoid = 0.5*(sum of parallel sides)*height  Assuming that you are asking about the formula for the AREA of a parallelogram (there is no formula for a parallelogram), A = bh where A is the "area", b is the length of any side (called a "base"), and h is the "height" measured perpendicular from that base to the opposite side. If the heights and bases are the same, then the triangle is half the area of the parallelogram.  The area of a parallelogram in word form is base times height. ###### GeometryMath and ArithmeticSchool SubjectsHomeschooling Copyright © 2020 Multiply Media, LLC. All Rights Reserved. The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Multiply.