The length of the side of square A is twice the length of the side of square B. What is the ratio of the area of square A to the area of square B? Choose the correct choice from the following options.
A) 4:1  B) 1:1  C) 2:1  D) 1:2  E) 1:21
Solution   Let x be the length of the side of square A and y be the length of the side of square B with x = 2 y. Area of A and B are given by   A = x^2 and B = y^2   But x = 2y. Hence   4:1 = (2y)^2 = 4 y^2   The ratio of 4:1 to B is   4 y^2 / y^2 = 4 / 1 or 4:1   4:1NSWER IS 4:1
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The length of the side of square A is twice the length of the side of square B. What is the ratio of the area of square A to the area of square B?