Pre-Algebra Examples

$(- 3, 8)$ , $(3, 10)$ , $(7, - 2)$

Step 1

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

The distance between the three corners is:

$(- 3, 8)$ and $(3, 10)$ $\to$ $2 \sqrt{10}$

$(- 3, 8)$ and $(7, - 2)$ $\to$ $10 \sqrt{2}$

$(3, 10)$ and $(7, - 2)$ $\to$ $4 \sqrt{10}$

Step 2

The diagonal is the longest distance and the width is the shortest distance, which means the $l = 12.64911064$ and $w = 6.32455532$ .

$l = 12.64911064$

$w = 6.32455532$

Step 3

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

$A = l \cdot w$

Step 4

Multiply $12.64911064$ by $6.32455532$ .

$A = 80$

Step 5