Asked by James
Ti'a rectangular gaden has perimeter of 20 meters. She wants its area to be at least 24 square metesr. Find the interval for the possible length of Tia's garden.
Answers
Answered by
Steve
if the garden is x by y meters,
x+y = 10
and xy >= 24
so,
x(10-x) >= 24
x^2 - 10x + 24 <= 0
(x-4)(x-6) <= 0
since the parabola open up, the graph is below the x-axis between the roots.
the roots are at x=4 and x=6
So, we need x <= 4 <= 6
Since usually the length is greater than the width, that means we should choose
√24 <= x <= 6
x+y = 10
and xy >= 24
so,
x(10-x) >= 24
x^2 - 10x + 24 <= 0
(x-4)(x-6) <= 0
since the parabola open up, the graph is below the x-axis between the roots.
the roots are at x=4 and x=6
So, we need x <= 4 <= 6
Since usually the length is greater than the width, that means we should choose
√24 <= x <= 6
Answered by
Carter
You are correct
Answered by
Bella Riley
ur awesome
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