Question

decide if this statement is valid or invalid. if a rectangle has a length of 12 and width of 8, then its area is 96. this rectangle has an area of 96. therefore it has a length of 12 and a width of 8.

Explanation:

Step1: Recall the area formula of rectangle

The area formula of a rectangle is \(A = l\times w\), where \(l\) is the length and \(w\) is the width.

Step2: Analyze the given statement

If \(l = 12\) and \(w = 8\), then \(A=12\times8 = 96\). But if \(A = 96\), there are other possibilities for \(l\) and \(w\), such as \(l = 16\) and \(w = 6\) (\(16\times6=96\)). Just because the area is 96 does not necessarily mean \(l = 12\) and \(w = 8\).

Answer:

Invalid