A Rancher Wishes to Fence in a Rectangular Corral Enclosing $10 \sqrt { 10 } \times 13 \sqrt { 10 }$

question 20

Multiple Choice

A rancher wishes to fence in a rectangular corral enclosing 1300 square yards and must divide it in half with a fence down the middle. If the perimeter fence costs $5 per yard and the fence down the middle costs $3 per yard, determine the dimensions of the corral so that the fencing cost will be as small as possible.

• A) \(10 \sqrt { 10 } \times 13 \sqrt { 10 }\)
• B) \(13 \sqrt { 10 } \times 13 \sqrt { 10 }\)
• C) \(10 \sqrt { 13 } \times 13 \sqrt { 13 }\)
• D) \(10 \times 10\)
• E) \(10 \sqrt { 10 } \times 10 \sqrt { 10 }\)
• F) \(10 \sqrt { 10 } \times 13 \sqrt { 10 }\)
• G) \(10 \sqrt { 13 } \times 10 \sqrt { 13 }\)
• H) \(13 \times 13\)

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Definitions:

Connie Gersick

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A theory suggesting that evolutionary development is marked by isolated episodes of rapid speciation between long periods of little or no change.

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A structure where groups or individuals are organized in levels of importance or power, each one superior to the one below.

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