Question

the perimeter of a rectangle is 34 units. its width is 6.5 units. write an equation to determine the length (l) of the rectangle. find the length of the rectangle. units

Explanation:

Step1: Recall the perimeter formula

The perimeter formula for a rectangle is \(P = 2(l + w)\), where \(P\) is the perimeter, \(l\) is the length, and \(w\) is the width. Given \(P = 34\) and \(w=6.5\), the equation is \(34 = 2(l + 6.5)\).

Step2: Solve the equation for \(l\)

First, divide both sides of the equation \(34 = 2(l + 6.5)\) by \(2\): \(\frac{34}{2}=l + 6.5\), which simplifies to \(17=l + 6.5\). Then subtract \(6.5\) from both sides: \(l=17 - 6.5\).

Answer:

Equation: \(34 = 2(l + 6.5)\)
Length: \(10.5\) units