In most geometry questions, the location of the shaded zone is visible. Concerns of this nature always take one of two forms. You must first find the location and then locate the darkened area by subtracting the smaller area from the bigger area.

Alternatively, to calculate the area of the shaded area, subtract the area of the unshaded area from the total area of the polygon. This is dependent on the type of figure presented.

You will learn about the following topics in this quick blog:

How to Locate the Shaded Region’s Area

How can you find out how big a shaded region is, including polygons?

More on the Shaded Region’s Area

The difference between the location of the complete polygon and the area of the unshaded region inside the polygon is the shaded area’s location.

In polygons, the shaded part’s area can be determined in two methods. The darkened region of a polygon can be found at the polygon’s facility or on its sides.

Formula Solving Techniques — Multi-Step Formulas

The shaded area is calculated when distinguishing between the area of a full polygon and the area of the unshaded portion, as previously stated.

Shaded region location = area of outer shape – area of unshaded inner form

How do you find the exact location of a darkened zone in a triangle?

Let’s look at a few examples to show how to calculate the area of a darkened zone in a triangle.

Example:

Calculate the shaded area’s area in the optimal triangle below.

Solution

The area of the darkened region is equal to the area of the external form minus the area of the interior form that is not shaded.

A triangle’s location equals 1/2 bh.

(1/2 x 15 x 10) cm2 is the size of the outside form.

75 cm2 =

(1/2 x 12 x 5) cm2 is the area of the inside shape that is not darkened.

30 cm2 =

Shaded region area = (75–30) cm2.

45 cm2 =

As a result, the darkened area’s dimensions are 45 cm2.