to_find_the_area_of_a_trapezoid:_(b1_plus_b2)_divided_by_2_times_h.._and_thats_it
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SECOND ANSWER
Here's some more detail, for those who want it:
For a trapezoid where h is the height (ie: the distance between the two parallel sides), and a & b are the lengths of the two parallel sides:
Area = h (a + b) / 2
Proof:
If you look at a trapezoid sitting on the longer of its two parallel sides, you will see that it's actually a rectangle in the middle, with a right-angled triangle on each side.
The area of the rectangle would be:
h x a (where a is the shorter parallel side)
For the two right-angled triangles, if c and d are the lengths of the perpendicular sides, then the areas are:
(h * c) / 2 and
(h * d) / 2
So, we add the two triangle areas together, and cancel:
(h * c + h * d) / 2
= h (c + d) / 2
This can be substituted for the following, since in a trapezoid a + c + d = b, hence c + d = b - a
h (b - a) /2
So, the total area of the trapezoid is the sum of the two formulas:
h (b - a) / 2 + h * a
(multiply the "h * a" part by 2, and divide be 2 as well, to get a common denominator):
= h (b - a) / 2 + 2ha / 2
= h (b - a + 2a) / 2
= h (b + a) / 2
So, there's your proof. A little complicated, but hopefully you get the idea.
My god just give them the simple formula (who ever wrote this is stupid)
top number+base (bottom number) * height / by 2
*=times
/=divide
leanth times width
Area of a trapezoid = 0.5*(sum of parallel sides)*height
The perimeter of a trapezoid is the sum of the lengths of each side. To find the area of a trapezoid: add base 1 and base 2 together then divide that answer by 2, then multiply it by the height of the trapezoid.
To find the area of a composite figure consisting of a trapezoid and a triangle, you would first calculate the area of the trapezoid using the formula A = (1/2)h(b1 + b2), where h is the height of the trapezoid and b1 and b2 are the lengths of the two parallel bases. Then, you would calculate the area of the triangle using the formula A = (1/2)bh, where b is the base of the triangle and h is the height. Finally, you would add the areas of the trapezoid and the triangle together to find the total area of the composite figure.
There is none because a trapezoid is a 2D shape but the area is as follows measured in square units:- Area = 0.5*(sum of parallel sides)*height
Area of a trapezoid = 0.5*(sum of parallel sides)*height
leanth times width
If the lengths of the bases are also given then rearrange the area of the trapezoid formula so that the height is the subject.
Area of a trapezoid = (1/2) x (height) x (length of the base + length of the top)
Area of a trapezoid = 0.5*(sum of parallel sides)*height
what trapezoid
The perimeter of a trapezoid is the sum of the lengths of each side. To find the area of a trapezoid: add base 1 and base 2 together then divide that answer by 2, then multiply it by the height of the trapezoid.
To find the area of a composite figure consisting of a trapezoid and a triangle, you would first calculate the area of the trapezoid using the formula A = (1/2)h(b1 + b2), where h is the height of the trapezoid and b1 and b2 are the lengths of the two parallel bases. Then, you would calculate the area of the triangle using the formula A = (1/2)bh, where b is the base of the triangle and h is the height. Finally, you would add the areas of the trapezoid and the triangle together to find the total area of the composite figure.
of course base times height for a square or rectangle. but for a trapezoid a= h x "b1+b2"
one-half times height times (sum of bases)
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.
There is none because a trapezoid is a 2D shape but the area is as follows measured in square units:- Area = 0.5*(sum of parallel sides)*height