Q4 of 16 Page 160

Compute the area of the parallelogram shown below:

We know that a diagonal of a parallelogram divides it into two triangles of equal area.

Therefore, Area of quadrilateral =


=


=


= 192 sq. cm


Hence, area of the parallelogram is 192 square centimetres.


More from this chapter

All 16 →
1

What is the area of the quadrilateral shown below?

 2

Prove that for any quadrilateral with diagonals perpendicular, the area is half the product of the diagonals.

 3

Compute the area of the quadrilateral shown below:

 4

The three blue lines in the picture below are parallel:


Prove that the areas of the quadrilaterals ABCD and PQRS are in the ratio of the lengths of the diagonals AC and PR.


(i) How should the diagonals be related for the quadrilaterals to have equal area?


(ii) Draw two quadrilaterals, neither parallelograms nor trapeziums, of area 15 square centimetres.