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How is the formula for the area of a trapezoid related to a parallelogram?
Wiki User
∙ 11y ago
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
Wiki User
∙ 11y 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?
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.
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
Why the formula to find the area of a parallelogram is the same as the formula to find the area of a rectangle?
of course base times height for a square or rectangle. but for a trapezoid a= h x "b1+b2"
How is the formula of a trapezoid related to the formula of a parallelogram?
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
How is the formula for the area of a trapezoid related to the formula for the area for a triangle?
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
How is the formula for the area of a trapezoid related to the formula for a area of a parallelogram?
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.
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 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.
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.
How is the formula for the area of a triangle related to the formula for an area of a parallelogram?
Area of a triangle = 0.5*base*perpendicular height Area of a parallelogram = base*perpendicular height
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
Why the formula to find the area of a parallelogram is the same as the formula to find the area of a rectangle?
of course base times height for a square or rectangle. but for a trapezoid a= h x "b1+b2"
Which formula for the area of a parallogram is similar to a rectangle circle triangle ellipse or trapezoid?
Rectangle Area of parallelogram = Base * Height Area of rectangle = Base * Height
How is the formula for the area of a trapezoid related to the formula for the area for a triangle?
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
How is the formula of a trapezoid related to the formula of a parallelogram?
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
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.
What is the formula area of a parallelogram?
The formula for area of a parallelogram is bh. Base times height.
