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A parallelogram is a convex quadrilateral with opposite sides parallel and equal in length. One of the defining characteristics of a parallelogram is that it has two diagonals intersecting at a single point, which is the midpoint of each diagonal. As you can see, a parallelogram is essentially a special type of trapezoid, so the method for calculating its area can be applied using the formula for finding the area of a trapezoid. Since the two base sides of the parallelogram are equal, we can use the following specific formula for finding its area.
Formula for Calculating the Area of a Parallelogram
HOW TO CALCULATE THE AREA OF A PARALLELOGRAM
The formula for finding the area of a parallelogram is: A = b x h (The area of a parallelogram equals the product of the base length and the corresponding height, with the unit of area being square meters).
Explaining the Formula:
S: Area of the parallelogram (m2)
a: Length of the base
h: Length of the corresponding height.
Application Exercise 1: Given parallelogram ABCD, where the length of AB is 10 cm and the height AH is 7 cm. Calculate the area of the parallelogram.
Solution:
Given the problem states that the base side AB = 10 cm, and the corresponding height AH = 7 cm, applying the formula for finding the area of the parallelogram directly yields:
S = a x h = AB x AH = 10 x 7 = 70 cm2
Answer: 70 cm2
Application Exercise 2: Given parallelogram ABCD with the height AH measuring 12 cm, where the length of segment DH is 1/3 of the base side DC and equals 7 cm. Calculate the area of ABCD.
Solution:
The problem states that the height AH = 12 cm, DH = 1/3 of DC, from which we deduce that the base side of the parallelogram is: DC = 3 x DH = 7 x 3 = 21 cm.
Applying the formula for finding the area of the parallelogram, we get:
S = AH x DC = 12 x 21 = 252 cm2
Answer: 252 cm2
The article above helps you review the definition, calculation method, and specific examples of finding the area of a parallelogram. We hope you will apply it flexibly to solve specific problems accurately.
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A square is a special case where all sides are equal and there are 4 right angles, so the formula for finding the area of a square is also special: S = a2.
