the area of a rectangle increases by 200 sq.m ,if the length is increased by 8m and breadth by 3m. the area increases by 255 sq.m ,if the length is decreased by 3m and breadth by 8m . find the l and b of the rectangle.
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Answer:
Step-by-step explanation:
Let the numbers be x and y:
Given, (x+8)(y+3)=200+xy ....(1)
and (x+3)(y+8)=255+xy ....(2)
Simplifying the 2 equations, we get
3x+8y=176
3y+8x=231
x=
3
(−8y+176)
Substituting this value of x in any equation, we get
3y+8
3
(−8y+176)
=231
Thus, x=24 and y=13.
Therefore, length is 24 m and breadth =13 m
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