Question

the length and width of a rectangle are each less than 1 unit long. which statement is true about the area of the rectangle? the area is greater than 2 square units. the area is between 0 square units and 1 square unit. the area is between 1 square unit and 2 square units. the area equals 1 square unit.

Explanation:

Step1: Recall area formula

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

Step2: Analyze given conditions

We know that $0

Step3: Determine area range

When we multiply two positive - numbers less than 1, the product is also a positive number less than 1. For example, if $l = 0.5$ and $w=0.3$, then $A=0.5\times0.3 = 0.15$. So, $0 < A<1$.

Answer:

The area is between 0 square units and 1 square unit.