Question

The floor of a one-story building is 14 feet longer than it is wide. The building has 1632 square feet of floor space. (a) Draw a diagram that gives a visual representation of the floor space. Represent the width as $w$ and show the length in terms of $w$. (b) Write a quadratic equation for the area of the floor in terms of $w$. (c) Find the length and width of the building floor.

          The floor of a one-story building is 14 feet longer than it is wide. The building has 1632 square feet of floor space.
(a) Draw a diagram that gives a visual representation of the floor space. Represent the width as $w$ and show the length in terms of $w$.
(b) Write a quadratic equation for the area of the floor in terms of $w$.
(c) Find the length and width of the building floor.

Added by Daniel F.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Avi Zellman

02/03/2022

Step 1

- The width of the floor is $ w $ feet. - The length of the floor is 14 feet longer than the width, so the length is $ w + 14 $ feet. - The area of the floor is 1632 square feet. Show more…

Show all steps

Thanks for your feedback!

The floor of a one-story building is 14 feet longer than it is wide. The building has 1632 square feet of floor space. (a) Draw a diagram that gives a visual representation of the floor space. Represent the width as $w$ and show the length in terms of $w$. (b) Write a quadratic equation for the area of the floor in terms of $w$. (c) Find the length and width of the building floor.