Solve the Problem $A ( x ) = x \sqrt { 768 - x }$

question 183

Multiple Choice

Solve the problem.
-A rectangle that is x feet wide is inscribed in a circle of radius 16 feet. Express the area of the rectangle as a function of x.

• A) \(A ( x ) = x \sqrt { 768 - x }\)
• B) \(A ( x ) = x ^ { 2 } \sqrt { 512 - x ^ { 2 } }\)
• C) \(\mathrm { A } ( \mathrm { x } ) = \sqrt { 1024 - \mathrm { x } ^ { 2 } }\)
• D) \(\mathrm { A } ( \mathrm { x } ) = \mathrm { x } \left( 1024 - \mathrm { x } ^ { 2 } \right)\)

---

Definitions:

Chronic Stress

Prolonged exposure to stressors that can lead to significant physical and mental health issues over time.

Premature Birth

Occurs when a baby is born before 37 weeks of pregnancy have been completed; often associated with higher risks of complications and developmental issues.

Spinal Cord Defects

Abnormalities in the spinal cord's structure or function, which can lead to varying degrees of physical disability and neurological problems.

Criminal Sanctions

Legal penalties imposed for violations of criminal laws, intended to deter crime and rehabilitate offenders.