A Rectangular Playing Field with a Perimeter Of $120$ Meters Is to Have an Area of at Least

question 8

Multiple Choice

A rectangular playing field with a perimeter of $120$ meters is to have an area of at least $495$ square meters. Within what bounds must the length of the field lie?

• A)between \(30\) and \(30 + 9 \sqrt { 5 }\) meters
• B)between \(30 - 9 \sqrt { 5 }\) and \(30 + 9 \sqrt { 5 }\) meters
• C)between \(28 \frac { 1 } { 2 }\) and \(30\) meters
• D)between \(28 \frac { 1 } { 2 }\) and \(30 + 9 \sqrt { 5 }\) meters
• E)between \(28 \frac { 1 } { 2 }\) and \(9\) meters