SOLUTION: The side length of square A is 36 cm. The side length of square B is 42 cm. What is the ratio of the area of square A to the area of square B? Express your answer as a common fract
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Question 1151194: The side length of square A is 36 cm. The side length of square B is 42 cm. What is the ratio of the area of square A to the area of square B? Express your answer as a common fraction.
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
The side length of square is .
the area of square is
The side length of square is .
the area of square is
the ratio of the area of square to the area of square is:
=> answer
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
The solution by tutor @MathLover1 is perfectly good... but it involves calculations much more complicated than necessary. The solution can be achieved much more easily using a basic fact about similar figures.
All squares are similar. The ratio of the side lengths of the two squares is 36:42 = 6:7.
In any similar figures, the ratio of area measurements is the square of the ratio of the linear measurements. So the ratio of the areas of these two squares is 6^2:7^2 = 36:49; or, expressed as a common fraction, 36/49.
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