What is the area of the trapezoid shown below?

Mathematics

2 answers:

Andreyy893 years ago

3 0

Step-by-step explanation:

If you want to know how to find the area of a trapezoid, just follow these steps.

Identify the length of both bases. The bases are the two parallel sides of the trapezoid. Let’s call them sides A and B. Suppose A is 8 in long and side B is 13 in long.

Add the lengths of the bases. Add 8 in and 13 in. 8 in + 13 in = 21 in.

Identify the elevation of this trapezoid. The height of the trapezoid is vertical to the bases. In this case, assume the elevation of the trapezoid is 7 in.

Multiply the amount of the lengths of the bases by the elevation. The amount of the lengths of these foundations is 21 in and the height is 7 in.

Divide the result by 2. Split 147 in2 by 2 to find the last answer. 147 in2/2 = 73.5 in2. The area of the trapezoid is 73.5 in2.

P.S Brainly was made to help you with your homework not do it for you.

katovenus [111]3 years ago

3 0

Answer:

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

Step-by-step 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

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