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The diagonals of two squares are in the ratio of 3 : 7. What is the ratio of their areas?

A3 : 7

B9 : 49

C4 : 7

D7 : 3

Answer:

B. 9 : 49

Read Explanation:

Area of square =12×(diagonal)2=\frac{1}{2}\times{(diagonal)^2}

Required ratio =(d1)2(d2)2=\frac{(d1)^2}{(d2)^2}

=(37)2=(\frac{3}{7})^2

=949=9:49=\frac{9}{49}=9:49


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