Question
Is this statement true or false?
The area of a region is equal to the sum of the areas of the non-overlapping parts.
The area of a region is equal to the sum of the areas of the non-overlapping parts.
Ask by Bob Henry. in the United States
Jan 22,2025
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Answer
The statement is true.
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The Deep Dive
True! When you have a region that can be divided into non-overlapping parts, the area of the entire region can indeed be found by adding up the areas of those individual parts. This principle is fundamental in geometry and helps in various applications, from calculating land plots to designing layouts.
In practice, this concept is super useful! For instance, if you’re painting a wall that’s composed of a rectangle and a triangle, you can calculate the area of each shape separately and then simply add them together to find out how much paint you’ll need. Just remember not to overlap your measurements—no one likes unintended paint mixing!