Question

1
the perimeter of a rectangle is 64n inches. its width is 12n inches. what is the length of the
rectangle?

• a 20n inches
• b 26n inches
• c 40n inches
• d 52n inches

Explanation:

Step1: Recall the perimeter formula of a rectangle

The perimeter \( P \) of a rectangle is given by the formula \( P = 2\times (length + width) \). We know that \( P = 64n \) and \( width = 12n \), and we need to find the length \( l \).

Step2: Substitute the known values into the formula

Substitute \( P = 64n \) and \( width = 12n \) into the formula \( 64n=2\times(l + 12n) \).

Step3: Solve for \( l \)

First, divide both sides of the equation by 2: \( \frac{64n}{2}=l + 12n \), which simplifies to \( 32n=l + 12n \). Then, subtract \( 12n \) from both sides: \( l=32n - 12n \).

Step4: Simplify the expression

\( l = 20n \) inches.

Answer:

A. 20n inches