-----------------

- - -
8 cm - - -6 cm
- 4 cm- -
- - -
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11 cm
what is the area of the trapezoid?

I still don't understand what the answer is. I added up all the numbers like triston did, and i got 34, but 34 is not an answer. The answer chocies they give is A)64 cm , B)32 cm , C)16 cm , or D) 22 cm. I think its 32 because its the closest to the answer triston gave, but i need help checking it, plz help me.

-Warrior Cat Lover

thank you so much but what is the answer

5 cm at the top 8 cm at the left 4 cm as the height 6 cm at the right and 11 cm at the bottom

thank you i got it now you are the best people in the world anybody can count on yall

@ warrior cat lover the answer is 72. a bit late now tho lol

To find the area of a trapezoid, you need to know the lengths of both bases and the height of the trapezoid. The bases are the parallel sides of the trapezoid, and the height is the perpendicular distance between the bases.

In the given figure, the lengths of the bases are 8 cm and 6 cm, respectively. The height is not given, so we need to find it.

To find the height, we can draw a perpendicular line from one of the vertices to the opposite side (base). In this case, we can draw a line from the top-left vertex to the bottom side of the trapezoid.

Since the top-left vertex forms a right angle with the bottom side, we can use the Pythagorean theorem to find the length of this perpendicular line (height). The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Using the given dimensions, let's calculate the height:

Applying the Pythagorean theorem:
(height)^2 = (base2)^2 - (base1)^2
(height)^2 = 4^2 - 3^2
(height)^2 = 16 - 9
(height)^2 = 7
height ≈ √7 cm

Now that we have the height, we can calculate the area of the trapezoid using the formula: Area = ((base1 + base2) / 2) * height

Substituting the values:
Area = ((8 + 6) / 2) * √7
Area = (14 / 2) * √7
Area = 7 * √7
Area ≈ 16.28 cm²

Therefore, the area of this trapezoid is approximately 16.28 square centimeters.

Triston,

What are the lengths of the top and the bottom?

What is their average?

What is the height?

so i add them all up and that is my answer

the area of a trapezoid is the average length of top and bottom

(L1+L2)/2
times the height

http://www.google.com/search?q=area+of+trapezoid&ie=utf-8&oe=utf-8