SOLUTION: The diagonals of rectangle ABCD intersect at point E. If measure of angle BDC is 30 degrees and AE =8(square root of 3), find the area of the rectangle.

Algebra ->  Parallelograms -> SOLUTION: The diagonals of rectangle ABCD intersect at point E. If measure of angle BDC is 30 degrees and AE =8(square root of 3), find the area of the rectangle.       Log On


   



Question 110264: The diagonals of rectangle ABCD intersect at point E. If measure of angle BDC is 30 degrees and
AE =8(square root of 3), find the area of the rectangle.

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
AC=BD=16sqrt(3) ... the diagonals form 30-60-90 triangles, so AB=CD=24 and AD=BC=8sqrt(3)

area is length times width ... a=24(8sqrt(3))