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Question Number 40822 by MrW3 last updated on 28/Jul/18

	Answered by tanmay.chaudhury50@gmail.com last updated on 28/Jul/18

	Commented by tanmay.chaudhury50@gmail.com last updated on 28/Jul/18

	Commented by tanmay.chaudhury50@gmail.com last updated on 28/Jul/18

	Commented by MrW3 last updated on 28/Jul/18

	$a n s w e r i s c o r r e c t s i r!$ $t h a n k s!$
	Answered by MrW3 last updated on 28/Jul/18

	$I t c a n b e s e e n t h a t t h e s u m o f t h e$ $d i a g o n a l p a r t s m u s t b e e q u a l .$ $20 + ? = 16 + 32$ $\Rightarrow ? = 48 - 20 = 28$
	Commented by tanmay.chaudhury50@gmail.com last updated on 28/Jul/18

	$p l s s a y w h e t h e r m y a n s w e r i s r i g h t o r w r o n g$ $m e t h o d m a y b e d i f f d r e n t . . .$
	Commented by MrW3 last updated on 28/Jul/18

	Commented by MrW3 last updated on 28/Jul/18

	$P r o o f :$ $A = \frac{1}{2} \times \frac{a}{2} \times x + \frac{1}{2} \times \frac{a}{2} \times y = \frac{a x}{4} + \frac{a y}{4}$ $B = \frac{1}{2} \times \frac{a}{2} \times (a - x) + \frac{1}{2} \times \frac{a}{2} \times y = \frac{a^{2}}{4} - \frac{a x}{4} + \frac{a y}{4}$ $C = \frac{1}{2} \times \frac{a}{2} \times (a - x) + \frac{1}{2} \times \frac{a}{2} \times (a - y) = \frac{a^{2}}{2} - \frac{a x}{4} - \frac{a y}{4}$ $D = \frac{1}{2} \times \frac{a}{2} \times x + \frac{1}{2} \times \frac{a}{2} \times (a - y) = \frac{a^{2}}{4} + \frac{a x}{4} - \frac{a y}{4}$ $A + C = \frac{a^{2}}{2}$ $B + D = \frac{a^{2}}{2}$ $\Rightarrow A + C = B + D = \frac{a^{2}}{2} = h a l f o f t h e s q u a r e a r e a$
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