Question

A composite figure is represented in the image. A six-sided composite figure. A vertical line on the left is labeled 10 meters. The base is labeled 18 meters. There is a small portion from the vertical line that is parallel to the base that is labeled 5 meters. This portion leads to two segments that come to a point, and from that point, there is a height of 2 meters labeled. What is the total area of the figure

Answer 1

185 square meters

To calculate the total area of the composite figure, you can break it down into simpler shapes.

The figure consists of a rectangle and a triangle. Here's how you can calculate the total area:

1. Calculate the area of the rectangle:

- The rectangle's base is 18 meters, and one side of the rectangle is 10 meters. So, the area of the rectangle is 18 meters x 10 meters = 180 square meters.

2. Calculate the area of the triangle:

- The triangle's base is the remaining portion of the vertical line, which is 10 meters - 5 meters = 5 meters.

- The height of the triangle is given as 2 meters.

- The area of a triangle is calculated as 0.5 x base x height, so in this case, the area of the triangle is 0.5 x 5 meters x 2 meters = 5 square meters.

3. Add the areas of the rectangle and the triangle to find the total area:

- Total area = Area of rectangle + Area of triangle = 180 square meters + 5 square meters = 185 square meters.

Therefore, the total area of the given composite figure is 185 square meters.