Question

the perimeter of a rectangle is 35.5 cm, and the width is 12 cm. what is the length of the rectangle? enter your numeric answer with no label

Explanation:

Step1: Recall the perimeter formula of a rectangle

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 into the formula

We know that \(P=35.5\) cm and \(w = 12\) cm. So, \(35.5=2(l + 12)\).

Step3: Solve for \(l\)

First, divide both sides of the equation by \(2\): \(\frac{35.5}{2}=l + 12\), which simplifies to \(17.75=l + 12\). Then subtract \(12\) from both sides: \(l=17.75 - 12\).

Answer:

\(5.75\)