Examples

(3, 3)

$(3, 3)$ ,

(3, - 4)

$(3, - 4)$ ,

(- 5, 3)

$(- 5, 3)$

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)

$(3, 3)$ and

(3, - 4)

$(3, - 4)$

\to

$\to$

7

$7$

(3, 3)

$(3, 3)$ and

(- 5, 3)

$(- 5, 3)$

\to

$\to$

8

$8$

(3, - 4)

$(3, - 4)$ and

(- 5, 3)

$(- 5, 3)$

\to

$\to$

\sqrt{113}

$\sqrt{113}$

Step 2

The diagonal is the longest distance and the width is the shortest distance, which means the

l = 8

$l = 8$ and

w = 7

$w = 7$ .

l = 8

$l = 8$

w = 7

$w = 7$

Step 3

The area of a rectangle is

A = l \cdot w

$A = l \cdot w$ .

A = l \cdot w

$A = l \cdot w$

Step 4

Multiply

8

$8$ by

7

$7$ .

A = 56

$A = 56$

Step 5

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