SOLUTION: if the length of a rectangle is increased by 3cm and the breadth is 4cm, the area of the new rectangle is 3 times that of the original rectangle.if the length is decreased by 1cm a

Question 946397: if the length of a rectangle is increased by 3cm and the breadth is 4cm, the area of the new rectangle is 3 times that of the original rectangle.if the length is decreased by 1cm and the breadth increased by 1cm the rectangle becomes a square.find the length and breath of the original rectangle
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
w and L, the original width (or breadth) and length.

First part of description means .

The second part means (L-1) and (w+1) become the new dimensions and
.

Non-linear system in w and L, and look for the intersection point or points.

-

-
Use the linear equation to allow for substitution of one of the variables.

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Discriminant for prep to use general solution method:

, a prime factorization, still only using none repeated.

The meaningful value for w is

Return to the use of to get the corresponding value for L.

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

if the length of a rectangle is increased by 3cm and the breadth is 4cm, the area of the new rectangle is 3 times that of the original rectangle.if the length is decreased by 1cm and the breadth increased by 1cm the rectangle becomes a square.find the length and breath of the original rectangle

Original length: cm
Original breadth: cm
You can do the check!!
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