MHB Need Help with finding the area of this figure

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To find the area of a figure without using software like Geogebra, one can use the formula for quadrilaterals with perpendicular diagonals, which is area = (1/2) * d1 * d2. A specific example provided calculates the area of a rectangle as 15 square units using the dimensions 5 and 3. The discussion emphasizes the importance of knowing the appropriate equations for different shapes. Understanding these formulas can simplify area calculations significantly.
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If u know a equation for finding the area please submit it.
Or a way to do it without using a program such as "Geogebra".

Thanks in advance.
 

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$5\cdot3=15\text{ sq. units}$.
 
Any quadrilateral whose diagonals $$d_1$$ and $$d_2$$ are perpendicular will have area equal to $$\dfrac{1}{2}d_1d_2$$.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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