Question

Find the area of the figure

Answer 1

You can solve each figure individually; the parallelogram, and the trapezoid.

The parallelogram, you can just do base * height. The base is 11 yards, and the height is 4 yards. 11 * 4 = 44 square yards.

Now for the trapezoid. If you split it up into a rectangle and a triangle, it becomes much more easier to solve. The rectangle and triangles can be made by splitting the figure down the center. This makes a rectangle with a length of 7 yards and a height of 8, and a triangle with a base of 7 yards and a height of 8 as well.

Solve for the area of both shapes.

The rectangle: Multiply length * height: 7 * 8 = 56 square yards

The triangle: Multiply base * height, and then divide by 2: 7 * 8 = 56
56 / 2 = 28 square yards

Now add the areas together.

28 + 56 + 44 = 128 square yards

Hope this helped!

Answer 2

These are the steps:
1. Find area of the trapezium.
2. Find area of the parallelogram.
3. Add the 2 areas together.


Step 1: Find the area of the trapezium:

Formula : area = 1/2 (a + b) h

Area = 1/2(7 + 14) (8) = 84 yd²


Step 2: Find the area of the parallelogram:

Formula : area = base x height

Area = 11 x 4 = 44 yd²


Step 3: Find the total area:

Total Area = 84 + 44 = 128 yd²

Answer: 128 yd²