Question

the perimeter of a rectangle is 90 centimeters. the length is 27 centimeters. what is the width of the rectangle?
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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 that \( P = 90 \) cm and \( l = 27 \) cm.

Step2: Substitute the known values into the formula

Substitute \( P = 90 \) and \( l = 27 \) into the formula: \( 90 = 2\times(27 + w) \).

Step3: Solve for \( w \)

First, divide both sides of the equation by 2: \( \frac{90}{2}=27 + w \), which simplifies to \( 45 = 27+w \).
Then, subtract 27 from both sides: \( w = 45 - 27 \).
Calculate the result: \( w = 18 \).

Answer:

18