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(b) For base AD = 6 cm, let height = h,

\ Area of the parallelogram = Base (AD) × height (h)

2
24 cm = 6 cm × h

h = 24 cm
6

h = 4 cm

Thus, the height corresponding to base AD is 4 cm.

Quick Check

Find the area of the following parallelograms:
S R
E F
D C

4 cm 3 cm 7 cm 10 cm 3 cm

A 11 cm B P 13 cm Q H 4 cm Q

Area of a Triangle

The area of a triangle is the region enclosed within the sides
of a triangle. Let us draw a scalene triangle on a piece of B
paper.
Cut out the triangle and cut out another triangle of the same E
size.
Now, we have two scalene triangles of the same size. C
A
Place both the triangles in such a way that their corresponding
sides are joined as shown in the figure below.
F
Do your notice the figured obtained? D

Is the figure thus formed a parallelogram?
C
It is a parallelogram. B
The base and the height of the parallelogram are the same as the base and the (D)
height of the triangles, respectively.

So, we can say, the sum of the areas of both the triangles is equal to the area of
the parallelogram. A
(E)
1
So, the area of each triangle = × Area of parallelogram F
2
= 1 × (base × height)
2

[Q Area of a parallelogram = base × height]

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