Question

coach luna is designing a rectangular practice field for elementary soccer and kickball. the length of the practice field is 6 yards longer than its width, as shown in the image. (there is also a question about the relationship for the practice field, then what quantity could the x represent? with a diagram of a rectangle labeled with width w and length w + 6)

Explanation:

Step1: Recall the area formula of a rectangle

The area \(A\) of a rectangle is given by \(A=\text{length}\times\text{width}\). Here, the width is \(w\) and the length is \(w + 6\).

Step2: Substitute into the area formula

So, \(A=w(w + 6)\). Using the distributive property \(a(b + c)=ab+ac\), we have \(A=w\times w+w\times6\).

Step3: Simplify the expression

\(w\times w = w^{2}\) and \(w\times6=6w\). So the area \(A=w^{2}+6w\).

Answer:

\(w^{2}+6w\)