SOLUTION: The area of a rectangular hall is 48 square metres. If the length and breadth be increased by 1 metre each the area is increased by 15 square metres. Find the length and breadth of
Question 1047748: The area of a rectangular hall is 48 square metres. If the length and breadth be increased by 1 metre each the area is increased by 15 square metres. Find the length and breadth of the hall. Found 3 solutions by josgarithmetic, advanced_Learner, MathTherapy:Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website! x and y dimensions,
xy=48
Length is x and breadth is y.
If the length and breadth be increased by 1 metre each the area is increased by 15 square metres.
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Your system of two equations is now , which you may already know how to solve. Answer by advanced_Learner(501) (Show Source): You can put this solution on YOUR website! The area of a rectangular hall is 48 square metres. If the length and breadth be increased by 1 metre each the area is increased by 15 square metres. Find the length and breadth of the hall.
xy=48
(x+1)(y+1)=63
xy+x+y+1=63
48+x+y+1=63
49+x+y=63
x+y=63-49
x+y=14
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xy=48
x+y=14
which gives answer x=6 and y =8
check
6*8 area is 48
let us increase area by 1
7*9=63 area is increased by 15 Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
The area of a rectangular hall is 48 square metres. If the length and breadth be increased by 1 metre each the area is increased by 15 square metres. Find the length and breadth of the hall.
Let the original length be L
Then breadth =
We then get: ------- Multiplying by LCD, L
(L - 8)(L - 6) = 0
L, or original length = 8 m OR L = 6 m
If original length = 8 m, original breadth = 6 m
If original length = 6 m, original breadth = 8 m