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Two squares are similar. The ratio of a set of sides is 2:4. What is the ratio of their areas?

zerokun4 - 2007-07-30 06:54:51 - Mathematics

Two squares are similar. The ratio of a set of sides is 2:4. What is the ratio of their areas?

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Best Answer:

4 : 16 = 1 : 4

Answers:

2^2:4^2 = 4:16 = 1:4

4 : 16 = 1 : 4

Unlike other 4-sided figures, all squares will ALWAYS be similar, since all four sides of each are equal. Since the ration of the sides of two squares is 2:4 or 1:2, the ratio of their areas will be (1/2)^2 = 1:4

The ratio you gave is a linear ratio, 2:4 = 1:2. The area ratio is always x^2:y^2 when the linear ratio given is x:y. Therefore the ratio of their areas is 1:4. Hope this helps! :-) BTW, if you wanted the volume ratio, then it would be x^3:y^3.

One square measures 10" by 10" and the other measures 20" by 20" a ratio of 2:4 being the same as 1:2. Look it as a fraction or division. For each square calculate L x W... ... 10 x 10 = 100 and 20 x 20 = 400 A ratio of 100 over 400, 400 divide by 100 all answers equal 1:4.

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