Answer:
A
Explanation:
(I mislabelled my diagram the letters A and B should be swapped around)
When it comes to wordy geometry problems, it’s best to first draw a diagram using all the info given (I’ve attached my one)
So if we let angles A and E = α, then angle B will be 2α. And since angles in a triangle sum to 180 degrees, that means α + α + 2α = 4α = 180, so α = 45 degrees, and hence angle B = 90 degrees.
This means we have a right angled triangle with shorter side lengths of 5√2, so the area will be 1/2(5√2)² = 25