Pre-Algebra Examples

$(6, - 3)$ , $(0, 5)$ , $(- 2, 1)$

Step 1

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

The distance between the three corners is:

$(6, - 3)$ and $(0, 5)$ $\to$ $10$

$(6, - 3)$ and $(- 2, 1)$ $\to$ $4 \sqrt{5}$

$(0, 5)$ and $(- 2, 1)$ $\to$ $2 \sqrt{5}$

Step 2

The diagonal is the longest distance and the width is the shortest distance, which means the $l = 8.9442719$ and $w = 4.47213595$ .

$l = 8.9442719$

$w = 4.47213595$

Step 3

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

$A = l \cdot w$

Step 4

Multiply $8.9442719$ by $4.47213595$ .

$A = 40$

Step 5