My Math Forum Border Question - Urgent

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 January 26th, 2014, 06:10 PM #1 Newbie   Joined: Jan 2014 Posts: 4 Thanks: 0 Border Question - Urgent A rectangular lawn measures 7m by 5 m. A uniform border of flowers is to be planted along !!!2!!! adjacent sides of the lawn, as shown in the diagram. If the flowers that have been purchased will cover an area of 6.25msquared, how wide is the border? Help appreciated, please hurry!!!
January 26th, 2014, 06:46 PM   #2
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Re: Border Question - Urgent

Quote:
 A rectangular lawn measures 7m by 5 m. A uniform border of flowers is to be planted along two adjacent sides of the lawn. If the flowers that have been purchased will cover an area of 6.25 meters squared, how wide is the border?

Code:
: - - 7 - - : x :
- *-----------*---*
: |           |:::|
5 |   lawn    |:::| x+5
: |           |:::|
- *-----------*:::|
x |:::::::::::::::|
- *---------------*
x+7
$\text{Total area: }\:(x\,+\,7)(x\,+\,5) \:=\:x^2\,+\,12x\,+\,35$

$\text{Lawn area: }\:7\,\times\,5\:=\:35$

$\text{Garden area: }\:(x^2\,+\,12x\,+\,35)\,-\,35 \:=\:x^2\,+\,12x$

$\text{Garden is 6.25\,m}^2:\;\;x^2\,+\,12x \:=\:6.25 \;\;\;\Rightarrow\;\;\;4x^2\,+\,48x \:=\:25$

[color=beige]. . . [/color]$4x^2\,+\,48x\,-\,25 \:=\:0 \;\;\;\Rightarrow\;\;\;(2x\,-\,1)(2x\,+\,25) \:=\:0$

$\text{Therefore: }\:x \,=\,\frac{1}{2}\,\text{m}$

January 27th, 2014, 02:18 PM   #3
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Quote:
 Originally Posted by soroban Garden is 6.25 m²: . . .
I assume you meant "Border" rather than "Garden".

 Tags border, question, urgent

### a rectangular lawn measures 10 by 5. A border of flowers is to be planted along 2 adjacent

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