Question

look at this rectangle. find the value of s.
10 mm
perimeter = 44 millimeters
s = \boxed{} millimeters

Explanation:

Step1: Recall perimeter formula for rectangle

The perimeter \( P \) of a rectangle is given by \( P = 2\times(\text{length} + \text{width}) \). Here, length is \( s \) and width is \( 10 \) mm, and \( P = 44 \) mm. So we have the equation \( 44 = 2\times(s + 10) \).

Step2: Solve for \( s \)

First, divide both sides of the equation by \( 2 \): \( \frac{44}{2}=s + 10 \), which simplifies to \( 22 = s + 10 \). Then, subtract \( 10 \) from both sides: \( s = 22 - 10 \).

Answer:

\( s = 12 \) millimeters.