Area of parallelogram = base x height
Area of the parallelogram:
To get the area of the parallelogram, we first draw a perpendicular line segment from one corner of the parallelogram to the opposite side. This is the height (h) of the parallelogram. The area of a parallelogram is equal to the product of its length and height.
Area of a parallelogram = base x height
You may notice that `lh` is also the area of a rectangle with dimensions l and h. The diagram below will explain why. If we cut out the triangle ABC and add it to the other side (triangle DEF), you will have a rectangle with dimensions l and h that has the same area as the original parallelogram.
Area of parallelogram ABCD = (base x height)
Any side of a parallelogram can be chosen as the base of the parallelogram.
The perpendicular dropped on that side from the opposite vertex is known as height (altitude).
Find the height ‘x’ if the area of the parallelogram is 24 cm2 and the base is 4 cm.
Area of parallelogram = b × h
Therefore, 24 = 4 × `x`
`24/4 = x`
x = 6 cm
So, the height of the parallelogram is 6 cm.
The two sides of the parallelogram ABCD are 6 cm and 4 cm. The height corresponding to the base CD is 3 cm.
(i) area of the parallelogram.
(ii) the height corresponding to the base AD.
(i) Area of parallelogram = b × h
= 6 cm × 3 cm = 18 cm2
(ii) base (b) = 4 cm, height = x (say), Area = 18 cm2
Area of parallelogram = b × `x`
18 = 4 × `x`
`18/4 = x`
Therefore, x = 4.5 cm
Thus, the height corresponding to base AD is 4.5 cm.