Question

Plot the points A (2 , 8 ), B (3 , 3) , C (2 , 3) and find the area of the region enclosed by the figure ABC.

Answer 1

Draw the x-axis and y-axis with a suitable scale.
Plot the points A (2 , 8), B ( 3, 3), C (2 , 3). Join the points A and B, B and C and C and A. We get a closed figure ABC. Clearly it is a triangle. Count the number of full squares. There are 10 full unit squares.
Count the number of half squares. There are 5 half unit squares.
Hence the area of a triangle is $10+\frac{5}{2}=102.5=12.5c{m}^2$.