Let ABCD and BEDF be two 2 by 3 rectangles that overlap. Find the area of the overlap.
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Since they share a common diagonal BD, they are the same rectangle.
To find the area of the overlap between two rectangles, you can follow these steps:
Step 1: Visualize the rectangles
Draw the two rectangles with their dimensions and their overlapping section. Label the rectangles ABCD and BEDF.
Step 2: Identify the common areas
Observe the overlapping section between the two rectangles. Focus on the region where the rectangles intersect.
Step 3: Find the dimensions of the overlapping section
Note the dimensions of the overlapping section. Determine the length and width of the common area.
Step 4: Calculate the area of the overlap
Multiply the length and width of the overlapping section to find its area. Use the formula: Area = length x width.
Applying these steps to the problem:
Let's assume the length of the overlapping section is 'x' and the width is 'y'.
From rectangle ABCD, its dimensions are 2 by 3.
From rectangle BEDF, it is not mentioned, so let's assume its dimensions are also 2 by 3.
Since the overlapping area has the same dimensions as the rectangles, the overlapping section is also 2 by 3. Therefore, the area of the overlap is:
Area = length x width = 2 x 3 = 6 square units.
Thus, the area of the overlap between the two rectangles ABCD and BEDF is 6 square units.