The area of the shaded region is 42 ft2 . What is the area of the unshaded region? A) 7 ft 2B) 21 ft2C) 42 ft2D) 84 ft2


Area of a Rectangle
Given a rectangle of width W and length L, its area can be calculated as:
[tex]A=W\cdot L[/tex]If we cut the rectangle by its diagonal, we get to congruent triangles, each one with half the area of the rectangle, that is:
[tex]A_t=\frac{A}{2}_{}[/tex]The shaded region corresponds to one of these triangles, thus the unshaded region must have the same area as the shaded region.
Area of the shaded region: 42 ft2
Area of the unshaded region: 42 ft2
Area of the rectangle: 84 ft2