The perimeter of a rectangle is given by the formula,

We substitute,
and

into the above formula to obtain the expression,


We now group the x and y terms on the Left Hand Side of the equation to get.


We now divide through by 2 to get,

Therefore the width of the rectangle is


2 <u>| 500</u>
2 <u>| 250</u>
5 <u>| 125</u>
5 <u>| 25</u>
5 <u>| 5</u>
1 <u>| 1</u>
Prime factorisation of <u>500 = 2 × 2 × 5 × 5 × 5 × 1</u>
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Hope it helps.
ᏒᎯᎨᏁᏰᎾᏯᏕᎯᏝᎿ2222
Filling in 20 characters just to answer with a pic
The answer is 1/6 because 1 /2 × 1/3 =1/6