Question

which equation represents the area of a rectangle with a width of w meters and a length of w + 4 meters, with a total area of 96 square meters?
a. w(w + 4) = 96
b. 4w + 96 = w
c. 96w - 4 = w
d. w + 96 = 4

Explanation:

Step1: Recall the area formula for a rectangle

The area formula for a rectangle is \(A = \text{length}\times\text{width}\).

Step2: Substitute the given values into the formula

Given that the width is \(w\) meters and the length is \(w + 4\) meters, and the area \(A=96\) square meters. Substituting into the formula \(A=\text{length}\times\text{width}\), we get \(w(w + 4)=96\).

Answer:

A. \(w(w + 4)=96\)