Find the area of the isosceles trapezoid below by using the area formulas for rectangles and triangles.

Question

8 cm
11 cm
4 cm

Answer 1

To find the area of the isosceles trapezoid, we need to divide it into a rectangle and two triangles.

First, we can find the height of the trapezoid by using the Pythagorean theorem:

h^2 = (11-8/2)^2 + 4^2

h^2 = 2.5^2 + 4^2

h^2 = 6.25 + 16

h^2 = 22.25

h = √22.25

h ≈ 4.714

Now we can calculate the area:

Area = (base1 + base2) x height / 2 + base2 x height

Area = (8 + 11) x 4.714 / 2 + 11 x 4.714

Area = 19.714 x 2.357 + 51.854

Area ≈ 98.249 cm^2

Therefore, the area of the isosceles trapezoid is approximately 98.249 cm^2.