Solve the Problem $256 \mathrm {~cm} ^ { 2 }$ Let

question 123

Multiple Choice

Solve the problem.
-Consider all rectangles with an area of $256 \mathrm {~cm} ^ { 2 }$ . Let $x$ be the length of one side of such a rectangle. Express the perimeter as a function of $x$ and determine the dimensions of the rectangle that has the least perimeter.

• A) \(\mathrm { P } ( \mathrm { x } ) = 2 \mathrm { x } + \frac { 512 } { \mathrm { x } } ; 4 \mathrm {~cm} \times 64 \mathrm {~cm}\)
• B) \(\mathrm { P } ( \mathrm { x } ) = \mathrm { x } + \frac { 256 } { \mathrm { x } } ; 16 \mathrm {~cm} \times 16 \mathrm {~cm}\)
• C) \(\mathrm { P } ( \mathrm { x } ) = 256 \mathrm { x } ; 8 \mathrm {~cm} \times 32 \mathrm {~cm}\)
• D) \(\mathrm { P } ( \mathrm { x } ) = 2 \mathrm { x } + \frac { 512 } { \mathrm { x } } ; 16 \mathrm {~cm} \times 16 \mathrm {~cm}\)

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Definitions:

Payment Interval

The regular schedule at which payments are made, such as monthly or quarterly.

Periodic Interest Rate

The interest rate applied to a loan or investment over a specific period of time, shorter than a year.

Annuity

A fiscal tool that guarantees fixed periodic payments to a beneficiary, usually as a component of retirement planning.

Payment Interval

The interval at which payments are issued, like monthly, every three months, or once a year.