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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

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Ocie Koss

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3y ago

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

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


Is a square or trapezoid have a special name and is a parallelogram?

Square = parallelogram and a square trapezoid = trapezoid Parallelogram = Parallelogram


How can you use the area of a parallelogram to find the area of a corresponding trapezoid?

To find the area of a trapezoid using the area of a corresponding parallelogram, you can draw a line parallel to one of the bases of the trapezoid that extends to form a parallelogram. The area of the parallelogram is calculated using the formula (A = \text{base} \times \text{height}). Since the trapezoid shares the same height and one pair of parallel sides with the parallelogram, you can find the area of the trapezoid by subtracting the area of the triangular sections outside the trapezoid from the area of the parallelogram. This approach effectively utilizes the relationship between the two shapes to derive the trapezoid's area.


Which one is not a parallelogram rhombus rectangle trapezoid parallelogram or square?

trapezoid


How is the area of trapizoid related to the area of a parrellogram?

The area of a trapezoid can be related to the area of a parallelogram by considering that both shapes have a base and height. The area of a trapezoid is calculated using the formula (A = \frac{1}{2} (b_1 + b_2) h), where (b_1) and (b_2) are the lengths of the two parallel bases and (h) is the height. In contrast, the area of a parallelogram is given by (A = b \cdot h), where (b) is the length of one base and (h) is the height. If you take a trapezoid and extend it into a parallelogram by duplicating one of its bases, the relationship between the areas is evident: the trapezoid's area is essentially half of the area formed by the parallelogram that encompasses it.

Related Questions

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

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


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

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


Is a square or trapezoid have a special name and is a parallelogram?

Square = parallelogram and a square trapezoid = trapezoid Parallelogram = Parallelogram


How is the formula for the parallelogram related to the area formula of the rectangle?

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.


How is an isosceles trapezoid related to a parallelogram?

They are both 4 sided quadrilaterals


How can you use the area of a parallelogram to find the area of a corresponding trapezoid?

To find the area of a trapezoid using the area of a corresponding parallelogram, you can draw a line parallel to one of the bases of the trapezoid that extends to form a parallelogram. The area of the parallelogram is calculated using the formula (A = \text{base} \times \text{height}). Since the trapezoid shares the same height and one pair of parallel sides with the parallelogram, you can find the area of the trapezoid by subtracting the area of the triangular sections outside the trapezoid from the area of the parallelogram. This approach effectively utilizes the relationship between the two shapes to derive the trapezoid's area.


Which one is not a parallelogram rhombus rectangle trapezoid parallelogram or square?

trapezoid


How is the area of trapizoid related to the area of a parrellogram?

The area of a trapezoid can be related to the area of a parallelogram by considering that both shapes have a base and height. The area of a trapezoid is calculated using the formula (A = \frac{1}{2} (b_1 + b_2) h), where (b_1) and (b_2) are the lengths of the two parallel bases and (h) is the height. In contrast, the area of a parallelogram is given by (A = b \cdot h), where (b) is the length of one base and (h) is the height. If you take a trapezoid and extend it into a parallelogram by duplicating one of its bases, the relationship between the areas is evident: the trapezoid's area is essentially half of the area formed by the parallelogram that encompasses it.


Is a parallelogram always a trapezoid?

No, a parallelogram is not always a trapezoid, but they are both four-sided quadrilaterals. A parallelogram has two pairs of parallel sides, and a trapezoid has only one pair of parallel sides.


Is a trapezoid always sometimes or never a parallelogram?

A trapezoid is sometimes a parallelogram. If the trapezoid has two pairs of parallel sides, it will also be a parallelogram. However, if the trapezoid does not have two pairs of parallel sides, it will not be a parallelogram.


Is a parrallelogram a trapezoid?

No, a parallelogram is not a trapezoid.


What shape has 2 names?

ANSWER: A parallelogram (It can also be called a trapezoid) ... but a trapezoid is not a parallelogram!