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

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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):
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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):
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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
-------------------------------------------------------------------------------==
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