Is this statement true or false?
The area of a region is equal to the sum of the areas of the non-overlapping parts.
true
false

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Is this statement true or false? The area of a region is equal to the sum of the areas of the non-overlapping parts. true false

UpStudy AI · Accepted Answer

**True.**

The statement is accurate based on the principle of additivity in geometry. When a region is divided into non-overlapping (disjoint) parts, the total area of the entire region is indeed the sum of the areas of each individual part. This holds true for various geometric shapes and is a fundamental concept in calculating areas.

**Example:**
Consider a rectangle divided into two smaller rectangles without any overlapping. The area of the original rectangle is equal to the sum of the areas of the two smaller rectangles.

$$
\text{Total Area} = \text{Area of Part 1} + \text{Area of Part 2}
$$

This principle ensures that the total area remains consistent regardless of how the region is partitioned, as long as the parts do not overlap.
The statement is true.

Is this statement true or false?
The area of a region is equal to the sum of the areas of the non-overlapping parts.
true
false

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