Question

A RECREATION CENTER HAS A RECTANGULAR FIELD AND A RENTAGULAR PLAYGROUND THAT ARE SIMILAR IN SHAPE. EACH DIMENSION OF THE FIELD IS 2.8 TIMES THE CORRESPONDING DIMENSION OF THE PLAYGROUND. WHICH STATEMENT IS TRUE??

A: The area of the field is 7.84 times the area of the playground.
B: The area of the field is 5.6 times the area of the playground.
C: The perimeter of the field is 5.6 times the permineter of the playground.
D: The perimeter of the field is 7.84 times the perimeter of the playground.

NEED HELP ASAP. GET 10 POINTS FOR FIRST CORRECT ANSWER!

Answer 1

The ratio of areas is equal to the square of the ratios of the sides. Thus:
A(f) = 2.8² A(p)
A(f) = 7.84 A(p)

The answer is A.