Question

1. what is the width of a rectangle in centimeters if it has a perimeter of 78 cm and a length of 25 cm?

Explanation:

Step1: Recall the perimeter formula of a rectangle

The perimeter \( P \) of a rectangle is given by the formula \( P = 2\times (l + w) \), where \( l \) is the length and \( w \) is the width. We know \( P = 78 \) cm and \( l = 25 \) cm. First, we can divide both sides of the formula by 2 to simplify: \( \frac{P}{2}=l + w \)
Substituting the known values: \( \frac{78}{2}=25 + w \)

Step2: Calculate \( \frac{78}{2} \) and solve for \( w \)

Calculate \( \frac{78}{2}=39 \), so the equation becomes \( 39 = 25+w \). Then, subtract 25 from both sides to solve for \( w \): \( w=39 - 25 \)

Step3: Compute the value of \( w \)

\( 39-25 = 14 \)

Answer:

14