Question

Find the area ofABCD where co ordinates ofA,B,C,D are(0,0),(1,2),(2,5)and(1,4)respectively

Answer 1

Answer:

2 units

Explanation:

Step 1 - Draw a rough figure for the following question and join point B to D and A to C

Step 2 - Start finding the area of the Triangle ABD first

by the formula 1/2 [(x₁) (y₂ - y₃) + (x₂) (y₃ - y₁) + (x₃) (y₁ - y₂)

Now substitute the values

1/2 [(0) (2-4) + (1) (4) + (1) (-2)] = 1

Similarly Find the area of triangle BCD

1/2 [(1) (5-4) + (2) (2) + (1) (-3)] = 1

Adding area of triangle BCD and ABD = 1+1= 2units