By definition, a parallelogram is merely a quadrilateral. Its key characteristics are having two sets of parallel sides. Consequently, it would have two sets of equal lengths, denoted as a and b. A perpendicular bisector is the red line in the picture that bisects length b into two lengths while creating a right angle. The area of a parallelogram is
A = bh, where
b is the side that meets with h
h is the perpendicular height of the parallelogram
Since h is not known, we have to solve it first through applying the pythagorean theorem.
h = √29^2 - 12^2 = 26.4 m
Thus,
A = (12 cm + 33 cm)(26.4 cm)
A = 1,188 square centimeters
