HELP PLEASE!!!!

A rancher has 3300 feet of fence to enclose a rectangular region that lies along a straight river. If no fence is used along the river (see the figure), find the dimensions needed to enclose 20 acres of land. Recall that 1 acre = 43,560 ft2. (Enter your answers as a comma-separated list.)

Question

25-11-2016
Mathematics

Answered

HELP PLEASE!!!!

A rancher has 3300 feet of fence to enclose a rectangular region that lies along a straight river. If no fence is used along the river (see the figure), find the dimensions needed to enclose 20 acres of land. Recall that 1 acre = 43,560 ft2. (Enter your answers as a comma-separated list.)

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Anonymous Anonymous · Answer 1 · 2016-11-27T20:04:34-05:00

Area is length times width. In this case, if we use all 3300 feet of fence, the width (distance from the river to the fence opposite can be x, and the fence opposite the river will be 3300-2x (the total amount of fence, less the amount on the other two sides) so the area as a function of x to meet the specification of the problem will be:
A(x)=x(3300−2x)=(43560)20
It looks to me that you could turn it into a quadratic equation (ax^2+bx+c=0) and solve it....

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