Question

What is the area of the trapezoid shown below?

Answer 1

its 78 units on khan academy :)))

Explanation:

Answer 2

`\Large \boxed{\mathrm{78 \ units^2 }}`

Explanation:

The area of the trapezoid can be found by adding the area of the triangle and the area of the rectangle.

Area of rectangle = base × height = 2 × 12 = 24 units²

Area of triangle = base × height × 1/2

The base is missing for the triangle. Apply Pythagorean theorem to solve for the base.

12² + b² = 15²

b = 9

9 × 12 × 1/2 = 54 units²

Adding the areas.

54 units² + 24 units² = 78 units²