Question

youve already found the length is 2x - 3 and the width is x. can you use these expressions to write the equation for the perimeter given that the perimeter is 72 inches?

Explanation:

Step1: Assume it's a rectangle (common perimeter problem), perimeter formula is \( P = 2(l + w) \), where \( l \) is length, \( w \) is width. Given \( l = 2x - 3 \), \( P = 72 \).

\( 72 = 2((2x - 3) + w) \)

Step2: Simplify the equation. Divide both sides by 2: \( 36 = (2x - 3) + w \)

Step3: Solve for \( w \) (width expression). Subtract \( (2x - 3) \) from both sides: \( w = 36 - (2x - 3) = 36 - 2x + 3 = 39 - 2x \)

(Assuming the problem is about a rectangle's perimeter, finding width expression when length is \( 2x - 3 \) and perimeter 72. If it's a different shape, adjust, but rectangle is typical for length/width/perimeter.)

Answer:

The expression for the width (assuming rectangle) is \( 39 - 2x \)