Q11 of 43 Page 226

Find the area of the quadrilateral ABCD.

Here, AC = 22 cm,


BM = 3 cm,


DN = 3 cm, and


BM AC, DNAC


It is given in the question that,


ABCD is a quadrilateral, where


AC = 22 cm


BM = 3 cm


DN = 3 cm


BM is perpendicular to AC and DN is perpendicular to AC


∴ Area of (ABCD) = Area (ABC) + Area (ADC)


= × (3 × 22) + × (3 × 22)


= × 66 + × 66


= 33 + 33


= 66 cm


More from this chapter

All 43 →
7

Through a rectangular field of length 90 m and breadth 60 m, two roads are constructed which are parallel to the sides and cut each other at right angles through the center of the field. If the width of each road is 3 m,

Find:


(i) The area covered by the roads.


(ii) The cost of constructing the roads at the rate of Rs. 110 per m2.

 8

Pragya wrapped a cord around a circular pipe of radius 4 cm (adjoining figure) and cut off the length required of the cord. Then she wrapped it around a square box of side 4 cm (also shown). Did she have any cord left?


 9

The adjoining figure represents a rectangular lawn with a circular flower bed in the middle.

Find:


(i) The area of the whole land


(ii) The area of the flower bed


(iii) The area of the lawn excluding the area of the flower bed


(iv) The circumference of the flower bed.


 10

In the following figures, find the area of the shaded portions: