Examples

(1, 2)

$(1, 2)$ ,

(1, 0)

$(1, 0)$ ,

(- 1, 0)

$(- 1, 0)$

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, 2)

$(1, 2)$ and

(1, 0)

$(1, 0)$

\to

$\to$

2

$2$

(1, 2)

$(1, 2)$ and

(- 1, 0)

$(- 1, 0)$

\to

$\to$

2 \sqrt{2}

$2 \sqrt{2}$

(1, 0)

$(1, 0)$ and

(- 1, 0)

$(- 1, 0)$

\to

$\to$

2

$2$

Step 2

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

l = 2

$l = 2$ and

w = 2

$w = 2$ .

l = 2

$l = 2$

Step 3

The perimeter of a rectangle is

P = 2 \cdot (l + w)

$P = 2 \cdot (l + w)$ .

P = 2 \cdot (l + w)

$P = 2 \cdot (l + w)$

Step 4

In this case, the perimeter is

P = 2 \cdot (2 + 2)

$P = 2 \cdot (2 + 2)$ . Add the length and the width of the rectangle then multiply the answer by

2

$2$ .

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Step 4.1

Remove parentheses.

P = 2 \cdot (2 + 2)

$P = 2 \cdot (2 + 2)$

Step 4.2

Simplify

2 \cdot (2 + 2)

$2 \cdot (2 + 2)$ .

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Step 4.2.1

Add

2

$2$ and

2

$2$ .

P = 2 \cdot 4

$P = 2 \cdot 4$

Step 4.2.2

Multiply

2

$2$ by

4

$4$ .

P = 8

$P = 8$

P = 8

$P = 8$

P = 8

$P = 8$

Step 5

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