Pre-Algebra Examples

$(- 2, 7)$ , $(7, - 1)$ , $(3, 9)$

Step 1

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

The distance between the three corners is:

$(- 2, 7)$ and $(7, - 1)$ $\to$ $\sqrt{145}$

$(- 2, 7)$ and $(3, 9)$ $\to$ $\sqrt{29}$

$(7, - 1)$ and $(3, 9)$ $\to$ $2 \sqrt{29}$

Step 2

The diagonal is the longest distance and the width is the shortest distance, which means the $l = 10.77032961$ and $w = 5.3851648$ .

$l = 10.77032961$

$w = 5.3851648$

Step 3

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

$A = l \cdot w$

Step 4

Multiply $10.77032961$ by $5.3851648$ .

$A = 58$

Step 5