the width of a retangular garden is 3 feet les than its lenght. its dimensions if the area is 154 square feet

Question

using completing the square

Answer 1

length = L

width = (L-3)

Area = 154 = L - 3L; completing square = > 154 + (9/4) = L^2 - 3L + (3/2)^2 = (L - (3/2))^2 =>

Then (616+9)/4 = (L- (3/2))^2 => ((625+9)/4)^0.5 = L-(3/2)

(25/2)+(3/2) = L

L = 14 feet and width 11 feet. area = 14*11= 154

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