Algebra 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

l = 8

$l = 8$ and

w = 7

$w = 7$ .

l = 8

$l = 8$

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 (8 + 7)

$P = 2 \cdot (8 + 7)$ . 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 (8 + 7)

$P = 2 \cdot (8 + 7)$

Step 4.2

Simplify

2 \cdot (8 + 7)

$2 \cdot (8 + 7)$ .

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Step 4.2.1

Add

8

$8$ and

7

$7$ .

P = 2 \cdot 15

$P = 2 \cdot 15$

Step 4.2.2

Multiply

2

$2$ by

15

$15$ .

P = 30

$P = 30$

P = 30

$P = 30$

P = 30

$P = 30$

Step 5

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