answer: (-8,4) are the coordinates of a
let the side of square abcd is x .
thus the area of square abcd is .
now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x
( because ad is the side of square)
and, according to the question,
the areas of square abcd and right ead are equal.
thus, ea: ab=2: 1
therefore, point a divides line segment eb into the ratio 2: 1.
⇒ by sectional formula coordinates of a are,
thus the coordinates of a are (-8,4)