A rectanguler counter is 16 in. longer than it is wide. the area is 420 sq. in. find the length and width.

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suppose the width of the counter is w. then the length is 16+w. So the area w(16+w) = 420. w^2 + 16w -420 = 0. w = 14 (or -30). Therefore the width is 14 and the length is 30