Question
The area of a rectangular garden is 140
square meters. The width is 3
meters longer than one-half
of the length.
square meters. The width is 3
meters longer than one-half
of the length.
Answers
length --- x
width ----x/2 + 3
x(x/2 + 3) = 140
x^2 /2 + 3x - 140 = 0
x^2 + 6x - 280 = 0
(x - 14)(x + 20) = 0
x = 14, we reject the x = -20
length is 14 m, width is 10 m
width ----x/2 + 3
x(x/2 + 3) = 140
x^2 /2 + 3x - 140 = 0
x^2 + 6x - 280 = 0
(x - 14)(x + 20) = 0
x = 14, we reject the x = -20
length is 14 m, width is 10 m
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