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The formula for the area of a trapezoid is a combination of the formulas for the areas of a triangle and a rectangle. It can be seen as two congruent triangles placed together to form a parallelogram. So, the formula for the area of a parallelogram is a generalization of the formula for the area of a trapezoid.

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

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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

of course base times height for a square or rectangle. but for a trapezoid a= h x "b1+b2"

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

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

For a parallelogram, take the base times the height. For a trapezoid, take the smaller base and times it by the height.

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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

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.

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.

Area of a triangle = 0.5*base*perpendicular height Area of a parallelogram = base*perpendicular height

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

of course base times height for a square or rectangle. but for a trapezoid a= h x "b1+b2"

Rectangle Area of parallelogram = Base * Height Area of rectangle = Base * 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

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

For a parallelogram, take the base times the height. For a trapezoid, take the smaller base and times it by the 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

The formula for area of a parallelogram is bh. Base times height.