Question

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Answer 1

Brian is creating a collage on a piece of cardboard that has an area of 150r2 square centimeters. The collage is covered entirely by pieces of paper that do not overlap. Each piece has an area of the square root of r cubed square centimeters. Use the given information to determine an expression for the total number of pieces of paper used.

Answer 2

You need to divide the total area by the area of each sheet of paper. So [150(r^2)]/[(r^3)^0.5]

Multiply the top and the bottom by radical r-squared to get the radical out of the denominator.

(150 (r^2) [(r^3)^0.5])/(r^3)

[(150 (r^2) (r^1.5)]/(r^3)

[150(r^3.5)]/(r^3)

150(r^0.5)