Solve the Problem $$y = 4 - x ^ { 2 }$$

question 254

Multiple Choice

Solve the problem.
-A rectangle is bounded by the x-axis and a parabola defined by $$y = 4 - x ^ { 2 }$$ . What are the dimensions of the rectangle if the area is $6 \mathrm {~cm} ^ { 2 }$ ? Assume that all units of length are in centimeters.

• A) \(2 \mathrm {~cm}\) by \(3 \mathrm {~cm}\)
• B) \(\sqrt { 13 } - 1 \mathrm {~cm}\) by \(\frac { 1 + \sqrt { 13 } } { 2 } \mathrm {~cm}\)
• C) \(1 \mathrm {~cm}\) by \(6 \mathrm {~cm}\) or \(\frac { \sqrt { 13 } - 1 } { 2 }\) by \(\frac { 1 + \sqrt { 13 } } { 2 } \mathrm {~cm}\)
• D) \(2 \mathrm {~cm}\) by \(3 \mathrm {~cm}\) or \(\sqrt { 13 } - 1 \mathrm {~cm}\) by \(\frac { 1 + \sqrt { 13 } } { 2 } \mathrm {~cm}\)

---

Definitions:

Tackle

To confront or take on a challenge or issue directly.

Increase Efficiency

The process of improving the capability of performing tasks or activities with the minimal amount of waste, effort, or inefficiency.

Prime Time

The period during a television broadcast schedule when the largest number of viewers are watching, typically in the evening.

Plan Activities

The process of organizing tasks, events, or actions that are intended to be carried out.