Question

A rectangle or shaped swimming pool has a perimeter of 104 feet and is 4 feet longer than 3 times its width. Find its dimensions.

Answer 1

      $y$
______
|           |
|           |
|           |    $x$
|           |
|           |
|_____ |         

(i'm using meters instead of feet because I'm more used to it)


The perimeter of the rectangle is $2x+2y$
The perimeter is 104m
∴$2y+2x=104$
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It's 4 feet longer than 3 times its width.
$3y=x+4$
$3y-x=4$
$6y-2x=8$


$2y+2x=104$
$6y-2x=8$
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$8y=112$

∴$y=14$m



$2y+2x=104$
$2(14)+2x=104$
$28 +2x=104$
$2x=76$
∴$x=38$m