Question

6.) write an expression for the perimeter of the rectangle. 3x - 4 5x p = ?

Explanation:

Step1: Recall the properties of a rectangle

A rectangle has two pairs of equal - length sides. Let the length be \(l\) and the width be \(w\).

Step2: Derive the perimeter formula

The perimeter \(P\) is the sum of all the sides. So \(P=l + w+l + w\).
By combining like terms, \(P = 2l+2w\).
Using the distributive property \(a(b + c)=ab+ac\) (here \(a = 2\), \(b=l\), \(c = w\)), we can also write \(P=2(l + w)\).

Answer:

\(P = 2l+2w\) and \(P=2(l + w)\)