Rectangle !!

mahmoudaljamel · 2006-09-20 22:08:26

The length of a rectangle was increased by 10 m , the width was increased by 5m ,
as a result the area was increased by 1050 m².
Find the original lenth and width

Dross · 2006-09-20 22:30:04

Furthermore...

1) How many solutions to this problem are there?
2) What would the dimensions of a square with the above property be?

mathsyperson · 2006-09-21 01:35:25

mahmoudaljamel · 2006-09-23 19:41:53

This is a question found in a " pre calculus " book , the authers put 80 m and 60 m as the answers , i could reach one equation in two variables , but never come to a second equation .
Now , if we know that the answer should be 60 m and 80 m , can we work back to find any new equation !!
thanks Dross
thanks mathsyperson

Kurre · 2006-09-23 21:38:02

Dross wrote:

2) What would the dimensions of a square with the above property be?

should the original rectangle be a square, or the after the width and height have been increased?

Dross · 2006-09-24 20:07:04

Kurre wrote:

Dross wrote:
2) What would the dimensions of a square with the above property be?
should the original rectangle be a square, or the after the width and height have been increased?

Ah, good question... how about both, just for the practice!

(not at the same time though - two separate questions )

Kurre · 2006-09-28 00:45:03

if you let the original rectangle be a square:

if you let the result be a square:

Last edited by Kurre (2006-09-28 00:47:46)

Math Is Fun Forum

#1 2006-09-20 22:08:26

Rectangle !!

#2 2006-09-20 22:30:04

Re: Rectangle !!

#3 2006-09-21 01:35:25

Re: Rectangle !!

#4 2006-09-23 19:41:53

Re: Rectangle !!

#5 2006-09-23 21:38:02

Re: Rectangle !!

#6 2006-09-24 20:07:04

Re: Rectangle !!

#7 2006-09-28 00:45:03

Re: Rectangle !!

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