RaTio_of aRea

Geometry Level 2

What is the ratio of area of the square A E F G AEFG to the area of square A B C D ABCD ?


The answer is 3.25.

Fahim Muhtamim by Fahim Muhtamim , 17, Bangladesh

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1 solution

Arifin Ikram
Oct 6, 2019

Here, x ² = A K ² = 5 4 x²=AK²=\frac{5}{4} and A C ² = 2 AC²=2 .

So, A E ² = x ² + A C ² = 13 4 = 3.25 AE²=x²+AC²=\frac{13}{4}=3.25

So, our answer is A B C D A E G F = 3.25 1 = 3.25 \frac{ABCD}{AEGF}=\frac{3.25}{1}=\boxed{3.25}

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