MHB Calculating Perimeter & Area of a Parallelogram & Triangle

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To calculate the perimeter and area of the parallelogram ABCE and the equilateral triangle ADE, the discussion clarifies that CD is a segment within the trapezoid ABCD. The perimeter can be determined easily, while the area of the trapezoid is calculated using the formula A = (h/2)(b1 + b2), where b1 and b2 are the lengths of the parallel bases. Participants are encouraged to specify any difficulties they encounter in the calculations. The focus remains on providing clear guidance for solving the geometric problems presented. Understanding these formulas is essential for accurate calculations.
Abdullah Qureshi
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Find the perimeter and area of CD, if ABCE is a parallelogram and

ADE is an equilateral triangle.
 

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CD is a line segemnt, ABCD is a trapezoid. Is that what you're trying to find the area & perimeter for?

Perimeter should be rather simple ... what do you get?

Area of a trapezoid is $\dfrac{h}{2}(b_1+b_2)$ where $b_1$ and $b_2$ are the parallel bases.

Where, exactly, are you having trouble?
 

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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