Question

A(2, 4) , B(4,0) & D(-4, 0). Here, the x- and y-coordinates are measured in meters. What is the area of the plot of land?

Answer 1

`Area = 16`

Explanation:

Given

`A = (2,4)`

`B = (4,0)`

`D = (-4,0)`

Required

The area of the plot

The given coordinates show a triangle; and the area is calculated as:

`Area = (1)/(2)|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|`

`Area = (1)/(2)|2*0 - 4*4 + 4*0 - -4*0 + -4*4 - 2*0|`

`Area = (1)/(2)|-16 + 0 -16|`

`Area = (1)/(2)|-32|`

`Area = (1)/(2)*32`

`Area = 16`