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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.
Can a trapezoid and parallelogram have the same area?
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
How do you find the area of a parallelogram or trapezoid?
For a parallelogram, take the base times the height. For a trapezoid, take the smaller base and times it by the height.
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
What is area of a parallelogram if the area is 2 units squared?
The area is 2 units squared.
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.
Can a trapezoid and parallelogram have the same area?
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
How do you find the area of a parallelogram or trapezoid?
For a parallelogram, take the base times the height. For a trapezoid, take the smaller base and times it by the height.
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
What is area of a parallelogram if the area is 2 units squared?
The area is 2 units squared.
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
How area of parellogram help find area of trapezoid?
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
How do you calculate area of object?
well it depends on what object, for a square it's area = length of 1 side squared. for a triangle, it's area = 1/2BxH for a rectangle, it's area = WxH for a parallelogram, it's area = BxH for a trapezoid, it's area = 1/2(top length+base length) x height for a circle, it's area = PIExRADIUS squared
How do you find the area of a shaded region in a circle?
(pi * radius squared) * ( sector angle / 360 )
What is the base of a parallelogram which is 6inches and the height is 4inches what is the area of the paralleagram?
To find the area of a parallelogram, you multiply the base times the height. So 6*4=24 inches squared. Whenever you're finding the area of something, it's always a squared answer.
What shape do you get when you cut a trapaziod in half?
Depending upon exactly where the cut is made (and the shape/type of the original trapezoid), a trapezoid cut into two pieces [of equal area] can result in: 1: two trapezoids 2: a trapezoid and a parallelogram 3: a trapezoid and a [general] quadrilateral 4: a parallelogram and a triangle 5: two triangles.
What is the area of a parallelogram that has a base of 226m and a height of 82m?
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.
