Word Problem, can someone tell me if this is right?

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?

Would I just multiply 12.5 by 15?

Question

Word Problem, can someone tell me if this is right?

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?

Would I just multiply 12.5 by 15?

misssunshinexxoxo · Answer

S = 12.5 cm^2 
12.5 = a^2 
a = ~3.5356/3.54 cm 
Since the sides get 15 times bigger the length of the new side should be: 
a * 15 = 3.54 * 15 = 53.1 cm 

The area of the sculpture, also a square, can be found using the same formula but with different values for the sides. 
S = a^2 
S = 53.1^2 
S = 2819.61 cm^2