Question

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Find the area of the complex figure.

A figure has 8 sides; all sides meet at right angles. The left-most vertical side measures 31 meters. The lower most horizontal side measures 69 meters. The right-most vertical side measures 31 meters. The upper right horizontal side measures 23 meters. The middle horizontal side measures 23 meters. The upper middle left vertical side measures 12 meters.

Answer 1

The answer would be 2691 meters.

Explanation:

When looking at the figure, since you know the length of all of the sides you can easily cut it into three simpler rectangles by extending the line of 23 meters out to either side.

This gives us three rectangles by the measures of 23 by 12, 23 by 12, and 31 by 69.

In order to calculate area you do equation A=LxW

In this case, Area=(23) x (12)

This will get you the answer 276 meters.

Do this again for the other rectangle that measures 23 by 12, and add the two areas together.

This gives you 552 meters.

To find the area of the remaining triangle, once again do A=LxW

Area=(31) x (69)

This will give you 2139 meters.

To find the total area of the figure, add the two areas that we have already found out together,

522+2139

and you get your answer of 2691 meters.