Question

area of the quadrilateral formula by points (1,2)(1,-3)(-2,4)(0,5)​

Answer 1

Answer:

hey mate here is your answer ,

Step-by-step explanation:

The area of the quadrilateral formed by the points( 1, 2), (2, - 3), (-2, 4) and (0,5)​ = 7.5 square units

Step-by-step explanation:

The given four points of the quadrilateral are (1, 2), (2, - 3), (- 2, 4) and (0, 5)​.

To find, the area of the quadrilateral formed by the points( 1, 2) (2, - 3) (-2, 4) (0, 5)​ = ?

We know that,

The area of the quadrilateral

= 1/2 { x 1( y 2 -y3 ) + x 2 ( y3  - y 4) + x 3 ( y 4 - y1) +  x 4 (y 1 -y 2)

∴ The area of the quadrilateral formed by the points( 1, 2), (2, - 3), (-2, 4) and (0,5)​

= 1 / 2 { 1 ( -3-4 ) + 2 ( 4 -5) - 2( 5 -2) + 0 ( 2 + 3) } square  units

= 1/2 { 1( -7) + 2 ( -1 )  - 2 ( 3) + 0 ( 5)  square units

= 1/2 { -7-2-6}  square units

= 1/2 ( -15) square units

= 7.5 square units

∴ The area of the quadrilateral formed by the points( 1, 2), (2, - 3), (-2, 4) and (0,5)​ = 7.5 square units

thank you