To draw all possible rectangles with a perimeter of 42, use the formula for perimeter: ( P = 2(l + w) ), where ( l ) is the length and ( w ) is the width. Setting ( P = 42 ) gives the equation ( l + w = 21 ). You can choose various integer values for ( l ) (from 1 to 20), and calculate the corresponding ( w ) by rearranging to ( w = 21 - l ). Plot each pair ( (l, w) ) on a coordinate system to visualize the rectangles.
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