Question

Which of the following describes the relationship between the length of a rectangle and its width as width varies and area stays the same?
a. as width decreases, length stays constant.
b. as width decreases, length increases.
c. as width decreases, length decreases.
d. as width increases, area increases.

Answer 1

As Area = Length * Width for area to remain constant, length must increase as width decreases.

Answer is B

Answer 2

Answer:

The answer is the option B

as width decreases, length increases

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form $yx=k$

Let

x-----> the length of a rectangle

y-----> the width of a rectangle

The area of a rectangle is equal to

$A=xy$

In this problem the area is constant

so

the relationship between the length and the width represent an inverse variation

therefore

as width decreases, length increases

as width increases, length decreases