Question

the perimeter of this rectangle is 30 units. how long is the longer side? 6 units 24 units 9 units 5 units 6 units

Explanation:

Step1: Recall the perimeter formula for a rectangle

The perimeter formula for a rectangle is \(P = 2(l + w)\), where \(P\) is the perimeter, \(l\) is the length (longer side), and \(w\) is the width. We know \(P = 30\) units and \(w=6\) units.

Step2: Substitute the known values into the formula

Substitute \(P = 30\) and \(w = 6\) into \(P = 2(l + w)\). We get \(30=2(l + 6)\).

Step3: Solve for \(l\)

First, divide both sides of the equation \(30 = 2(l + 6)\) by \(2\): \(\frac{30}{2}=\frac{2(l + 6)}{2}\), which simplifies to \(15=l + 6\). Then subtract \(6\) from both sides: \(l=15 - 6\).

Answer:

\(9\) units. So the correct option is \(9\) units.