f length of a rectangle is reduced by 5 umits and its breadth is increasesd 3 units then area of rectangle is reduced by 8 sq units if lenghth is reduced 3 units and breadth is increased by 2 units then area of rectangle will increased by 67 sq units . then find length and breadth of rectangle


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Question Number 26528 by bbbbbb last updated on 26/Dec/17

$f l e n g t h o f a r e c t a n g l e i s r e d u c e d b y 5$ $u m i t s a n d i t s b r e a d t h i s i n c r e a s e s d$ $3 u n i t s t h e n a r e a o f r e c t a n g l e i s r e d u c e d$ $b y 8 s q u n i t s i f l e n g h t h i s r e d u c e d$ $3 u n i t s a n d b r e a d t h i s i n c r e a s e d b y$ $2 u n i t s t h e n a r e a o f r e c t a n g l e$ $w i l l i n c r e a s e d b y 67 s q u n i t s .$ $t h e n f i n d l e n g t h a n d b r e a d t h o f r e c t a n g l e$
	Answered by Rasheed.Sindhi last updated on 26/Dec/17

	$Let length & width of original rectangle$ $are x & y respectively .$ $xy - (x - 5) (y + 3) = 8 . . . . . . . (i)$ $(x - 3) (y + 2) - xy = 67 . . . . . . (ii)$ $(i) \Rightarrow xy - xy + 15 - 3 x + 5 y = 8$ $3 x - 5 y = 7 . . . . . . . . . (iii)$ $(ii) \Rightarrow xy + 2 x - 3 y - 6 - xy = 67$ $2 x - 3 y = 73 . . . . . . . (iv)$ $(iii) \Rightarrow 6 x - 10 y = 14$ $(iv) \Rightarrow 6 x - 9 y = 219$ $- y = - 205$ $y = 205$ $3 x - 5 (205) = 7$ $x = \frac{7 + 1025}{3} = \frac{1032}{3} = 344$ $Length = 344, Breadth = 205$
	Commented by bbbbbb last updated on 26/Dec/17

	$t h a n k u$
	Commented by AHSoomro last updated on 26/Dec/17

	$Great Boss$
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