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What is the respective ratio between the length of a rectangle and side of square? I. Area of the square is 576 sq cm and the area of the rectangle is 600 sq cm II. Breadth of the rectangle is half the side of the square.

If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question
If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question
If the data in either Statement I alone or in Statement II alone are sufficient to answer the question
If the data in both the Statements I and II are not sufficient to answer the question

Correct Answer:

Explanation:

From Statement I,
Area of square = 576 sq cm
∴ Side of square = Square root of Square's area
∴ Side of square = Square root of 576 = 24 cm
and area of rectangle = 600 sq cm
area of rectangle = ( length x breadth ) of rectangle
We cannot find the length of rectangle
From Statement II,
Breadth of rectangle = side of square x 1/2
Breadth of rectangle = 24 x 1/2 = 12 cm
∴ Length of rectangle = 600/12 = 50 cm
∴ Ratio = Length of rectangle/ Side of square = 50/24
= 25/12

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What is the respective ratio between the length of a rectangle and side of square? I. Area of the square is 576 sq cm and the area of the rectangle is 600 sq cm II. Breadth of the rectangle is half the side of the square.

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