Question

We know that parallelogram is also a quadrilateral. Let us also split such a quadrilateral into two triangles, find their areas and hence that of the parallelogram. Does this agree with the formula that you know already ? Please give answer according to the concept of NCERT class 8 maths CBSE book.​

Answer 1

Answer:

The diagonal BD of quadrilateral ABCD is joined and it divides the quadrilateral into two triangles. Now, Area of quadrilateral ABCD = Area of A ABD + Area of

ABCD

= = 2 + n bxh x h = bh

Infact ABCD is a parallelogram. Area of a parallelogram ABCD = h xh Area of a parallelogram = Base x Height = We know that a parallelogram can also be a trapezium. We already know that

sides) Area of trapezium ABCD = { (Sum of parallel

x [Perpendicular

distance between the parallel sides] =

1 x(b+b)xh

x (2b) xh = bh

or Area of parallelogram ABCD = bh. Yes, the above relation agrees with formula that we

know already.

Answer 2

Answer:

Hope it helps you dear friend