Question

6.5 polynomial equations homework
score: 21/24 answered: 21/24
question 22
the width of a rectangle is 4 feet more than its length.
if ( x ) represents the length of the rectangle, an expression giving the area is ( a = )
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Explanation:

Step1: Find the width of the rectangle

Given that the length is \(x\) and the width is \(4\) feet more than the length. So, the width \(w=x + 4\).

Step2: Use the formula for the area of a rectangle

The formula for the area of a rectangle is \(A=\text{length}\times\text{width}\). Substituting the values of length (\(x\)) and width (\(x + 4\)) into the formula, we get \(A=x(x + 4)\).
Using the distributive property \(a(b + c)=ab+ac\) (where \(a = x\), \(b=x\), \(c = 4\)), we expand \(x(x + 4)\) as \(A=x^{2}+4x\).

Answer:

\(A=x^{2}+4x\)