Given: A (0, 0), B (0, 10), C (8, 2) and D (8, 7) are the vertices of a quadilateral ABCD
Here, we have to find the area of quadilateral ABCD
Area of quadilateral ABCD = Area of ΔABC + Area of Δ ACD
Let's find out the area of ΔABC
∵ A (0, 0), B (0, 10), C (8, 2) are the vertices of ΔABC
As we know that, if
A(x1,y1),B(x2,y2) and
C(x3,y3) be the vertices of a Δ ABC, then area of Δ ABC
=.|| ⇒ Area of
ΔABC=.|| ⇒ Area of
ΔABC=40sq. units
Similarly, let's find out the area of
ΔACD ∵A(0,0),C(8,2) and
D(8,7) ⇒ Area of
ΔACD=.|| ⇒ Area of Δ ACD = 20 sq units
⇒ Area of quadilateral ABCD = Area of ΔABC + Area of Δ ACD = [40 + 20] sq. units = 60 sq. units
Hence, option C is the correct answer.