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

Answer:

$Area = 16$

Step-by-step 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:

$Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|$

$Area = \frac{1}{2}|2*0 - 4*4 + 4*0 - -4*0 + -4*4 - 2*0|$

$Area = \frac{1}{2}|-16 + 0 -16|$

$Area = \frac{1}{2}|-32|$

$Area = \frac{1}{2}*32$

$Area = 16$