if the length of rectangle decresed by 2metres and breadth incresed by 2metres then area would increse by 8 square metre. if the length is decreased by 3metres and breadth is decreased by 1metre then area would decreased by 27sq metre what is length and breadth
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Answered by
1
Answer:
a=10
Step-by-step explanation:
Let length be
′
a
′
m
breadth be
′
b
′
m
area
′
ab
′
m
2
(a+5)(b−3)=ab−5
⇒ab+5b−3a−15=ab−5
⇒5b−3a=10−(1)
(a+3)(b+2)=ab+50
⇒ab+6+3b+2a=ab+50
⇒3b+2a=144−(2)
solving equation (1) and (2)
19b=152
⇒b=
19
152
=8
5×8−3a=10⇒3a=40−10=30
⇒3a=30⇒a=10
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