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The calculation of the parallelogram area is quite simple and easy to remember. If you do not know the formula for calculating the standard area, please follow the article and illustration example below of Software.
A parallelogram is a convex quadrangle with 2 pairs of parallel and equal opposite sides. The property of a parallelogram is that there are two diagonal lines intersecting each other by 1 point and this is the midpoint of each line. As you can see, the parallelogram is a special form of trapezoid, so the calculation of the parallelogram area can be applied according to the calculation of the trapezoidal area. Since the bottom 2 sides of the parallelogram are equal, we will have the following separate formula.
The formula for calculating the parallelogram area
HOW TO CALCULATE THE AREA OF A PARALLELOGRAM
The formula for calculating the parallelogram area is: S = a x h (The parallelogram area is equal to the product of high line length with the corresponding bottom edge, the unit of area is square meters).
Explanation of the formula:
S: Parallelogram area (m2)
a: Bottom edge length
h: The length of the high line corresponding to the bottom edge.
Exercise 1: For parallelogram ABCD, side AB is 10 cm long, AH high line 7 cm long. Calculate the area of the parallelogram.
Cup:
The problem indicates that the bottom edge AB = 10 cm, the high line corresponding to the bottom edge AH = 7 cm, so immediately applying the formula for calculating the parallelogram area, we get:
S = a x h = AB x AH = 10 x 7 = 70 cm2
Answer: 70 cm2
Exercise 2: Give a parallelogram ABCD with an AH high line 12 cm long, the length of the DH segment is 1/3 of the DC bottom edge and equal to 7 cm. Calculate the area ABCD.
Cup:
The problem indicates that the high line AH = 12 cm, DH = 1/3 of the DC segment, from here deduces that the bottom of the parallelogram is: DC = 3 x DH = 7 x 3 = 21 cm.
According to the formula for calculating the area of the formed jar, we get:
S = AH x DC = 12 x 21 = 252 cm2
Answer: 252 cm2
The above article helps you review the definition, how to calculate the parallelogram area and specific illustrative examples. Hopefully, you will flexibly apply to specific problems to calculate the parallelogram area most accurately.
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A square is a special case when there are equal sides, there are 4 right angles, so the formula for calculating