Based on the calculations, the area of the black region is equal to 40 sq. units.
How to calculate the area of a square?
Mathematically, the area of a square can be calculated by using this formula;
A = x²
Where:
- A is the area of a square.
- x is the side length of a square.
By critically observing the diagram (see attachment), we can logically deduce that the black region represents the area within the larger square and partially occupied by the small square. Thus, we would calculate the area of the black region by subtracting the area of the small square from the area of the larger square as follows:
Area of small square = 3²
Area of small square = 9 sq. units.
For the larger square, we have:
Area of small square = 7²
Area of small square = 49 sq. units.
Now, we can calculate the area of the black region:
Area = 49 - 9
Area = 40 sq. units.
Read more on area of square here: https://brainly.com/question/8902873
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