Q: Where did the trapezoid area formula come from?

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The formula for finding the area of a trapezoid is (a + b) * h / 2, where a and b are the lengths of the parallel sides, and h is the height of the trapezoid.

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

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

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.

Area of a trapezoid: 0.5*(sum of its parallel sides)*height

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

The formula for finding the area of a trapezoid is (a + b) * h / 2, where a and b are the lengths of the parallel sides, and h is the height of the trapezoid.

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

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

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.

Area of a trapezoid: 0.5*(sum of its parallel sides)*height

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The formula for the area of a trapezoid is A = (a + b) * h / 2, where a and b are the lengths of the two parallel sides, and h is the height of the trapezoid.

Area = 0.5*(sum of parallel sides)*height

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

If the lengths of the bases are also given then rearrange the area of the trapezoid formula so that the height is the subject.