Answer:
Width = 14ft Length = 20ft
Step-by-step explanation:
Area (A) of rug (having rectangular shape) = L× W A = [tex]280ft^{2}[/tex]
but Length is 6ft more than width, this means L = (6 + W)ft
∴ 280 = (6+W)×W
280 = 6W + [tex]W^{2}[/tex]
solving the equation as a quadratic equation; [tex]W^{2} + 6W - 280 = 0[/tex]
(W - 14) (W + 20) = 0
W = 14 or W = -20 but W ≠ negative
∴ Width (W) = 14ft
Length = 6 + 14
= 20ft
