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

mahmoudaljamel
Member
Registered: 2006-09-03
Posts: 18

### Rectangle !!

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

If you always do what you always did, you'll always get what you always got

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

Dross
Member
Registered: 2006-08-24
Posts: 325

### Re: Rectangle !!

Furthermore...

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

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

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

### Re: Rectangle !!

Why did the vector cross the road?
It wanted to be normal.

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

mahmoudaljamel
Member
Registered: 2006-09-03
Posts: 18

### Re: Rectangle !!

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

If you always do what you always did, you'll always get what you always got

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

Kurre
Member
Registered: 2006-07-18
Posts: 280

### Re: Rectangle !!

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?

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

Dross
Member
Registered: 2006-08-24
Posts: 325

### Re: Rectangle !!

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 )

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

Kurre
Member
Registered: 2006-07-18
Posts: 280

### Re: Rectangle !!

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)

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