Question

(i) Calculate the area of quad.ABCD,given in Fig.(i)

(ii) Calculate the area of trap.PQRS,given in Fig.(ii)

Answer 1

ANSWER:
(i) In △BCD,
DB^2+BC^2=DC^2⇒DB^2=17^2-8^2=225⇒DB=15 cm
Ar(△BCD) = 1/2×b×h=12×8×15=60 cm2
In △BAD,
DA^2+AB^2=DB^2⇒AB^2=15^2-9^2=144⇒AB=12 cm
Ar(△DAB) = 1/2×b×h=1/2×9×12=54 cm2
Area of quad. ABCD = Ar(△DAB) + Ar(△BCD) = 54 + 60 = 114 cm 2 .

(ii) Area of trap(PQRS) = 1/2(8+16)×8=96 cm^2