Question

a perimeter of a rectangle is 20 meters. the width is 4 meters. what would the length be?

Explanation:

Step1: Recall the perimeter formula

The perimeter formula of a rectangle is \(P = 2(l + w)\), where \(P\) is the perimeter, \(l\) is the length, and \(w\) is the width.

Step2: Substitute the known values

Given \(P = 20\) meters and \(w = 4\) meters. Substitute into the formula: \(20=2(l + 4)\).

Step3: Simplify the equation

Divide both sides of the equation by \(2\): \(\frac{20}{2}=\frac{2(l + 4)}{2}\), which gives \(10=l + 4\).

Step4: Solve for \(l\)

Subtract \(4\) from both sides: \(l=10 - 4\).

Answer:

\(6\) m