# The function that models area of a rectangular building in terms of its width whose length is three times its width. ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 2, Problem 1P
To determine

## To find: The function that models area of a rectangular building in terms of its width whose length is three times its width.

Expert Solution

The function is modeled as A(w)=3w2 .

### Explanation of Solution

The formula to calculate area of rectangle is,

Area=length×width

The width of rectangular building is w.

Model the function in single variable (w) , express the length in terms of width.

Length is three times its width, express it algebraically.

l=3w

Summarize all the information in a table as shown below,

 In Words In Algebra Width w Length 3w

Model the function from information in above table.

Area=length×widthA(w)=(3w)(w)=3w2

Thus, the function is modeled as A(w)=3w2 .

### Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers! 