Find the Square or Rectangle Area (3,3) , (3,-4) , (-5,3)

$(3, 3)$ , $(3, - 4)$ , $(- 5, 3)$

Step 1

The distances between the given points are the length (l), width (w), and diagonal (d).

The distance between the three corners is:

$(3, 3)$ and $(3, - 4)$ $\to$ $7$

$(3, 3)$ and $(- 5, 3)$ $\to$ $8$

$(3, - 4)$ and $(- 5, 3)$ $\to$ $\sqrt{113}$

Step 2

The diagonal is the longest distance and the width is the shortest distance, which means the $l = 8$ and $w = 7$ .

$l = 8$

$w = 7$

Step 3

The area of a rectangle is $A = l \cdot w$ .

$A = l \cdot w$

Step 4

Multiply $8$ by $7$ .

$A = 56$

Step 5