POLQ 2 | Lesson 3 | Making Connections (Applications of Radical Equations) Solutions


The formula to find the area is \(d = 1.4\sqrt{A}\).  The distance given is 12 feet.  Solving for A,  \(12=1.4\sqrt{A}\)

Squaring both sides \(144 = 1.96A\)  The projection area is approximately 73.47 square feet.

If the distance is doubled, the new equation is \(24=1.4\sqrt{A}\) Solving for A, \(576=1.96A\). The new projection area is  approximately 293.88 square feet. By doubling the distance we have increased the projection area by a factor of 4.

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Continue to Lesson 4:  Deriving the Quadratic Formula