How do I solve this type of problem? Thank you.

Question

Ellie is getting a new rug for her room. Her old rectangular rug is 5 ft by 7 ft. Her new rug is circular with a diameter of 7 ft. How is the size of the new rug related to the old one?

A. The new rug is about 3.5 ft² larger than the old one.

B. The new rug is about 4.5 ft² smaller than the old one.

C. The new rug is about 3.5 ft² smaller than the old one.

D. The new rug is about 4.5 ft² larger than the old one.

Answer 1

old = 35 ft² (5 x 7)

new = 38.465 ft² (3.5² x 3.14)