Question

Sandy cut out 2 squares and 7 circles from a piece of cardboard. The length of the sides of each square was x inches, and radius of each circle was y inches. The expression below shows how many more square inches of cardboard Sandy used for making the circles than the squares:

7πy2 - 2x2

What does the term 7πy2 in the expression represent?

The total area of 7 circles

The total area of 22 circles

The total area of all the shapes

The total area of all the squares

Answer 1

@ganeshie8

Answer 2

I think it's A

Answer 3

can you explain what you're thinking?

Answer 4

Well it says 7πy2 and I think the only way it could be 22 circles is if it was 22πy2

Answer 5

Sorry it took me forever to reply, I'm working on the other problems and I forgot about this one.

Answer 6

yes, your thinking is good. You should mention that the area of a circle is
\[ \pi r^2\]
when the radius is "y" (as in this problem), the area of one circle is
\[ \pi y^2 \]
and 7 circles will have 7 times this area:
\[ 7 \pi y^2 \]