Square ABCD and rectangle ACEG have the same area. Find the ratio AC:CE

Please explain how you got the answer. Thanks!


Answer :

Answer:

2

Step-by-step explanation:

Ok, so let us assume that AB = x, from here we know the length of AC is xsqrt(2).

So,

area of ABCD = area of ACEG = x^2

From here, AG = x^2/xsqrt(2), which equals xsqrt(2)/2

Finally, AC to CE = xsqrt(2) : xsqrt(2)/2

which is 2/1