Pre-Algebra Examples

$(2, 1)$ , $(2, 3)$ , $(5, 1)$

Step 1

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

The distance between the three corners is:

$(2, 1)$ and $(2, 3)$ $\to$ $2$

$(2, 1)$ and $(5, 1)$ $\to$ $3$

$(2, 3)$ and $(5, 1)$ $\to$ $\sqrt{13}$

Step 2

The diagonal is the longest distance and the width is the shortest distance, which means $l = 3$ and $w = 2$ .

$l = 3$

Step 3

The perimeter of a rectangle is $P = 2 \cdot (l + w)$ .

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

Step 4

In this case, the perimeter is $P = 2 \cdot (3 + 2)$ . Add the length and the width of the rectangle then multiply the answer by $2$ .

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Step 4.1

Remove parentheses.

$P = 2 \cdot (3 + 2)$

Step 4.2

Simplify $2 \cdot (3 + 2)$ .

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Step 4.2.1

Add $3$ and $2$ .

$P = 2 \cdot 5$

Step 4.2.2

Multiply $2$ by $5$ .

$P = 10$

Step 5