Question

(b) the perimeter of a rectangular window is 372 cm. if the length of the window is 98 cm, what is its width? width of the window: cm

Explanation:

Step1: Recall the perimeter formula for 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 \( P = 372 \) cm and \( l = 98 \) cm. We need to solve for \( w \).
First, we can divide both sides of the formula by 2 to simplify: \( \frac{P}{2}=l + w \)
Substituting the known values: \( \frac{372}{2}=98 + w \)

Step2: Calculate \( \frac{372}{2} \) and solve for \( w \)

\( \frac{372}{2}=186 \), so the equation becomes \( 186 = 98 + w \)
To solve for \( w \), we subtract 98 from both sides: \( w=186 - 98 \)
\( 186-98 = 88 \)

Answer:

The width of the window is 88 cm.