Area Of Complex Figures easy Math quiz

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This quiz is a rigorous test to extract the best out of the students on the concepts of calculating areas of complex shapes in the geometry. There is a composite figure displayed in the question and the child is asked to find the area. Though it looks complicated, it is easy to solve by deducing the shape into each of the known shapes such as rectangles and squares based on the given measure of sides. The area of thus formed small rectangles and squares have to be calculated and then added to find out the answer.

How to find area of complex figures?

A complex figure is a two-dimensional shape that is made up of several smaller shapes. To find the area of a complex figure, you need to break the figure down into the smaller shapes and find the area of each shape. Then, you can add up the areas of the smaller shapes to find the total area of the complex figure.

Here’s an example:

Imagine you have a complex figure that is made up of a rectangle and a triangle. The rectangle is 6 cm wide and 8 cm tall, and the triangle is 6 cm wide and 8 cm tall. To find the area of the complex figure, you need to find the area of the rectangle and the area of the triangle.

The formula for finding the area of a rectangle is:

Area = width x height

Plugging in the values for the width and the height of the rectangle, we get:

Area of rectangle = 6 cm x 8 cm = 48 cm^2

The formula for finding the area of a triangle is:

Area = (1/2) x base x height

Plugging in the values for the base and the height of the triangle, we get:

Area of triangle = (1/2) x 6 cm x 8 cm = 24 cm^2

To find the total area of the complex figure, you add up the areas of the rectangle and the triangle:

Area of complex figure = 48 cm^2 + 24 cm^2 = 72 cm^2

This means the area of the complex figure is 72 square centimeters.

It’s important to remember that you can use different formulas to find the area of different shapes. For example, the formula for finding the area of a triangle is different from the formula for finding the area of a rectangle.