Question

decide if this biconditional statement is true or false. a rectangles area is 6 if and only if its length is 2 and width is 3.

Explanation:

Step1: Recall the formula for the area of a rectangle

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

Step2: Consider counter - examples

If \(l = 1\) and \(w=6\), then \(A=l\times w=1\times6 = 6\). Another example: if \(l = 0.5\) and \(w = 12\), then \(A=0.5\times12=6\).

Answer:

False