Q1 of 39 Page 210

In the given figure, ABCD is a quadrilateral in which cm, and such that cm and cm. find the area of quad. ABCD.

Given: A quadrilateral ABCD


and


AC = 24 cm


BL = 8 cm


DM = 7 cm


Here,


Area (quad. ABCD) = area (ABC) + area (ADC)


Area of triangle = × (base) × (height).


Therefore


Area of quad ABCD = × (AC) × (BL) + × (AC) × (DM)


= × (24) × (8) + × (24) × (7) = 96 + 84 = 180 cm2


Therefore area of the quadrilateral ABCD is 180 cm2


More from this chapter

All 39 →
11

The parallel sides of a trapezium are 20 cm and 10 cm. Its nonparallel sides are both equal, each being 13 cm. Find the area of the trapezium.

 12

The parallel sides of a trapezium are 25 cm and 11 cm, while its nonparallel sides are 15 cm and 13 cm. find the area of the trapezium.

 2

In the given figure, ABCD is a quadrilateral-shaped field in which diagonal BD is 36 m, and such that m and m. Find the area of the field.

 3

Find the area of pentagon ABCDE in which and such that cm, cm, cm, cm, cm and cm.