Need Help please.
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.

Question

Need Help please. 
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.

mathstudent55 · Answer

150r^2/(sqrt(r))^3

hartnn · Answer

Total area covered  = Area of each piece * number of pieces
here, total area is 150 r^2 
and Area of each piece given is $\sqrt r^3$

anonymous · Answer

I don't understand what to do.

hartnn · Answer

did u get this ?

Total area covered = Area of each piece * number of pieces

anonymous · Answer

Yes!

hartnn · Answer

good! now if you have read the question, we are given with 
 total area is 150 r^2 
and Area of each piece =  square root of r cubed square 
right ?
just plug these in the formula

anonymous · Answer

What is the formula?

hartnn · Answer

Total area covered = Area of each piece * number of pieces

anonymous · Answer

How do I multiply them correctly?

hartnn · Answer

we need total number of pieces 
Total area covered = Area of each piece * number of pieces 
gives 
Number of pieces = Total area covered / Area of each piece
                             =$\large \dfrac{150r^2}{\sqrt{r^3}}$
got this?

anonymous · Answer

Yes, but how do I multiply them?

hartnn · Answer

first simplify the denominator, $\sqrt {r^3}= \sqrt {r^2}\times \sqrt r =....?$
can u simplify ?

mathstudent55 · Answer

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