1. Bryan is an art sculptor and is creating an art series made entirely of similar figures. He buys a Sponge Bob Square Pants figure and decides he wants to make a larger version that has sides 15 times bigger. If the area of the figure is 12.5 cm2, what is the area of his sculpture?

Question

1.	Bryan is an art sculptor and is creating an art series made entirely of similar figures. He buys a Sponge Bob Square Pants figure and decides he wants to make a larger version that has sides 15 times bigger. If the area of the figure is 12.5 cm2, what is the area of his sculpture?

rajee_sam · Answer

Let us assume Sponge bob square pants is shaped like a rectangle--"
Since only his pants are square"

now you find the area of the it by the formula Area = Length x Width.

rajee_sam · Answer

now the sculptor is increasing the dimensions 15 times.

So your new length will be 15 x old Length. So let us keep the old length L and new length NL.

So your NL = 15 x L

Similarly your width is also increased 15 times.

So your NW = 15x W

Now the area of the new figure will be = NL x NW = 15x L x 15 x W = 225 x L x W

We are given L x W = 12.5

So your new Area will be = 225 x 12.5 = 2812.5 cm²