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


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



(i) In ">BCD, 


$\Rightarrow \mathrm{DB}^{2}=17^{2}-8^{2}=225$

$\Rightarrow \mathrm{DB}=15 \mathrm{~cm}$

$\operatorname{Ar}(\triangle B C D)=\frac{1}{2} \times b \times h=\frac{1}{2} \times 8 \times 15=60 \mathrm{~cm}^{2}$

In $\triangle B A D$


$\Rightarrow \mathrm{AB}^{2}=15^{2}-9^{2}=144$

$\Rightarrow \mathrm{AB}=12 \mathrm{~cm}$

$\operatorname{Ar}(\triangle \mathrm{DAB})=\frac{1}{2} \times b \times h=\frac{1}{2} \times 9 \times 12=54 \mathrm{~cm}^{2}$

Area of quad. $A B C D=\operatorname{Ar}(\triangle D A B)+\operatorname{Ar}(\triangle B C D)=54+60=114 \mathrm{~cm}^{2}$

(ii) Area of trap(PQRS) $=\frac{1}{2}(8+16) \times 8=96 \mathrm{~cm}^{2}$



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