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) \(\mathrm { A } ( \mathrm { x } ) = \mathrm { x } \left( 1024 - \mathrm { x } ^ { 2 } \right)\)

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Definitions:

Dinosaur Fossils

Remains or traces of dinosaurs preserved in rock.

First Reptiles

Earliest forms of reptiles, marking the origin and evolution of reptilian species on Earth.

Jawed Fishes

Vertebrates possessing a jawbone, including most modern fish species, enabling varied diets and ecological niches.

Cretaceous Era

A geological epoch that lasted from about 145 to 66 million years ago, at the end of the Mesozoic Era, known for the extinction of dinosaurs.