The base of a parallelogram is twice its height. If the area of shape of paralulogram is 98
sq.cm, then let us calculate the length and height of parallelogram.
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Area of Parallelogram
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Here we will discuss about how to find the area of a parallelogram. To calculate area of parallelogram we need to remember the formula and solve step-by-step.
ABCD is a parallelogram with base (b) and altitude (h).
area of parallelogram,perimeter of parallelogram
Area of parallelogram = 2 × Area of ∆ABC
= 2 × 1/2 × base × height sq. units
= 2 × 1/2 × AB × CE sq. units
= b × h sq. units
= base × height sq. units
Perimeter of parallelogram = 2(AB + BC)
= 2 × (Sum of adjacent sides)
Worked-out examples on area of parallelograms:
1. The base of the parallelogram is thrice its height. If the area is 192 cm², find the base and height.
Solution:
Let the height of the parallelogram = x cm
then the base of the parallelogram = 3x cm
Area of the parallelogram = 192 cm²
Area of parallelogram = base × height
192 = 3x × x
⇒ 3x² = 192
⇒ x² = 64
⇒ x = 8
Therefore, 3x = 3 × 8 = 24
Therefore, Base of the parallelogram is 24 cm and height is 8 cm.