Question

21.) A rectangle has an area of 36 square units. As the length and width change, what do you know about their

Answer 1

Answer:

the length and the width are inversely proportional to each other ($l=\frac{36}{w}$ or $w=\frac{36}{l}$)

Step-by-step explanation:

Let

l units = length of the rectangle,

w units = width of the rectangle.

The area of the rectangle is

$\text{Area}=\text{Length}\cdot \text{Width}$

A rectangle has an area of 36 square units, so

$l\cdot w=36$

Complete the table with some values of l and w that fit the previous formula:

$\begin{array}{ccc}\text{Length}&\text{Width}&\text{Area}\\ \\36&1&36\cdot 1=36\ un^2.\\18&2&18\cdot 2=36 \ un^2.\\12&3&12\cdot 3=36\ un^2.\\ 9&4&9\cdot 4=36\ un^2.\\l&w&l\cdot w=36 \ un^2.\end{array}$

As you can see, the length and the width are inversely proportional to each other ($l=\frac{36}{w}$ or $w=\frac{36}{l}$)