Solve the Problem $240 \mathrm { yd } ^ { 2 }$

question 51

Multiple Choice

Solve the problem.
-A landscaping team plans to build a rectangular garden that is between $240 \mathrm { yd } ^ { 2 }$ and $360 \mathrm { yd } ^ { 2 }$ in area. For aesthetic reasons, they also want the length to be $1.2$ times the width. Determine the restrictions on the width so that the dimensions of the garden will meet the required area. Give exact values and the approximated values to the nearest tenth of a yard.

• A) The width should be between \(4 \sqrt { 15 } \mathrm { yd }\) and \(6 \sqrt { 10 } \mathrm { yd }\). This is between approximately \(15.5 \mathrm { yd }\) and \(19.0 \mathrm { yd }\).
• B) The width should be between \(10 \sqrt { 2 } \mathrm { yd }\) and \(10 \sqrt { 3 } \mathrm { yd }\). This is between approximately \(14.1 \mathrm { yd }\) and \(17.3 \mathrm { yd }\).
• C) The width should be between \(4 \sqrt { 30 } \mathrm { yd }\) and \(12 \sqrt { 5 } \mathrm { yd }\). This is between approximately \(21.9 \mathrm { yd }\) and \(26.8 \mathrm { yd }\).
• D) The width should be between \(20 \mathrm { yd }\) and \(10 \sqrt { 6 } \mathrm { yd }\). This is between approximately \(20.0 \mathrm { yd }\) and \(24.5 \mathrm { yd }\).

Comprehend the use and applications of different barrier methods.

Recognize the importance of considering personal health conditions in choosing contraceptives.

Learn about the non-contraceptive health benefits of certain birth control methods.

Understand the mechanisms of action of intrauterine devices (IUDs) and hormonal contraceptives.

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Definitions:

Century BCE

A term used to denote years before the Common Era, typically used in historical context.

Hedonist

An individual who believes that the pursuit of pleasure is the most important goal in life.

Pleasure

A state of feeling happy, satisfied, or enjoyable.

Sole Good

The concept in ethics that there is only one ultimate value or good towards which all actions are directed.