Answer:
60 in^2
Explanation:
solution Given:
Area of the shaded region or trapezoid = Area of Rectangle ABCD - Area of triangle CDE
we have
Area of Rectangle ABCD= length* breadth =BC*AB=14*6=84 in^2
Area of Triangle CDE= 1/2* base*height=1/2*DE*CD=1/2*8*6=24 in ^2
Now
Area of the shaded region or trapezoid = Area of Rectangle ABCD - Area of triangle CDE
=84 in^2-24in^2
=60 in^2
Similarly, we have another way to calculate the area of the trapezoid;
Area = 1/2*h*(side1*side2)
=1/2*AB*(AE+BC)
=1/2*6*(6+14)
=60 in^2