if length of a rectangle is reduced by 3 unit and its breadth a breadth is increased by 2 units the area reduced by 6 square units if length is increased by 4 units and plates is produced when you need the area include increases 16 square units find the length and the breadth
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Answer:
Length of rectangle is reduced by 5 units and
its breadth is increased by 3 units and the
area of rectangle is reduced by 8 sq. units
(L−5)(W+3)=LW−8
LW+3L−5W−15=LW−8
3L−5W=7 __(1)
Length is reduced by 3 units and breadth is increased
by 2 units, then the area of Rectangle will be
67 sq. units increased
(L−3)(W+2)=LW+67
LW+2L−3W−6=LW+67
2L−3W=73 __(2)
Solving (1)×2 by (2)×3
2(3L−5W=7)→6L−10W=14
3(2L−3W=73)→6L−9W=219
−W=−205
W=205
W = 205 in eq (1).
3L−5(205)=7
3L=7+1025
3L=1032
L=1032/3
L=344
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