Question

select whether the conjecture is true or false. if the area of a rectangle is 20 square meters, then the length is 10 meters and the width is 2 meters. select choice

Explanation:

Step1: Recall rectangle area formula

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

Step2: Analyze the conjecture

The conjecture claims that if \( A = 20 \, \text{m}^2 \), then \( l = 10 \, \text{m} \) and \( w = 2 \, \text{m} \). But there are other pairs of length and width that multiply to 20, e.g., \( l = 5 \, \text{m} \), \( w = 4 \, \text{m} \) (since \( 5 \times 4 = 20 \)). So the conjecture is false.

Answer:

False