A farmer wants to enclose a rectangular field along a river on three sides. If 2

Question

A farmer wants to enclose a rectangular field along a river on three sides. If 2,400 feet of fencing is to be used, what dimensions will maximize the enclosed area? Select one: a. 600 ft (parallel to the river) by 600 ft b. 600 ft (parallel to the river) by 1,200 ft c. 1,200 ft (parallel to the river) by 600 ft d. 1,200 ft (parallel to the river) by 1,200 ft

An open box is formed by cutting a 6 inch square measured from each corner and folding up the sides. If the volume of the carton is then 48 in3, what was the length of a side of the original square of cardboard?

Select one:

Explanation / Answer

a) From substitution we can say that For 3 side fencing,

2*600 + 1200 = 2400

So The field should be of dimensions 1200*600

or 600*1200

In any case, The fencing wil be from the river. So length of fencing along the river is 1200

2) square b0x

(l-12)^2 * 6 = 48

l = 12 +2sqrt(2) is the original lenght of square

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