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A rectangle has two equally long sides, called length, and two equally short sides, called width. If we denote the length and the width $l$ and $w$ respectively we can draw the following figure.

The rectangle has a perimeter of $50$ m. By adding the four sides of the rectangle the sum must equal $50.$ This we can write as an equation. $l+l+w+w=50⇔2l+2w=50$ The rectangle's length is $3$ m longer than its width. Therefore, if we subtract $w$ from $l$ the difference becomes $3.$ This gives us the following equation. $l−w=3$ Together, they form a system of equations. ${2l+2w=502l−2w=53 $

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