Algebra Examples

(1, 3)

$(1, 3)$ ,

(3, 3)

$(3, 3)$ ,

(3, 1)

$(3, 1)$

Step 1

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

The distance between the three corners is:

(1, 3)

$(1, 3)$ and

(3, 3)

$(3, 3)$

\to

$\to$

2

$2$

(1, 3)

$(1, 3)$ and

(3, 1)

$(3, 1)$

\to

$\to$

2 \sqrt{2}

$2 \sqrt{2}$

(3, 3)

$(3, 3)$ and

(3, 1)

$(3, 1)$

\to

$\to$

2

$2$

Step 2

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

l = 2

$l = 2$ and

w = 2

$w = 2$ .

l = 2

$l = 2$

w = 2

$w = 2$

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

2

$2$ by

2

$2$ .

A = 4

$A = 4$

Step 5

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