Here's the solution,
there's a rectangle with sides 4x and 2x
So, area of rectangle :
=》4x × 2x
=》8x²
now, let's divide the kite into two equal triangles with base = 4x
and height = x
area of each triangle :
=》
=》
=》
=》
now, area of each triangle = 2x²
and there are two triangles so,
Area of the kite will be :
=》2 × 2x²
=》4x²
Area of shaded region =
=》Area of rectangle - Area of kite
=》8x² - 4x² = 4x²
hence, correct option is B.