Answer:
The neighboring plants in the square frame will be farther apart than neighboring plants in the rectangular frame.Step-by-step explanation:
Given that each plant requires 1300 in.^3 of soil and total plants are 4.
Total soil required = 4(1300) = 5200 in.^3
From the previous solution:
Total required volume = 18x^3 +48x^2 +(32 -8π)x in.^3
Therefore,
18x^3 +48x^2 +(32 -8π)x = 5200
Solving this cubic equation for x.
the value of x = 5.8 inches (approx.)
This means the distance between the plants = 5.8 inches. ......(1)
In case of the rectangular frame,
36x^3 +102x^2 +(72 -18π)x = 1300*6 = 7800
36x^3 +102x^2 +(72 -18π)x = 7800
solving for x
x = 5.17 inches (approx.) .......(2)
Form (1) and (2), the neighboring plants in the square frame will be farther apart than neighboring plants in the rectangular frame.