Question

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.

Answer 1

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

Answer 2

You are correct

Answer 3

ur awesome