Algebra
posted by Kristi .
The floor of a onestory building is 14 feet longer than it is wide (see figure). The building has 1472 square feet of floor space.
a) Write a quadratic equation for the area of the floor in terms of w.
(b) Find the length l and width w of the floor.

w (w+14) = 1472
w^2 + 14 w  1472 = 0
w = [14 +/ sqrt(196+5888) ]/2
w = [14 +/ 78]/2
want positive w so
w = 32
then l = 32+14 = 46
Respond to this Question
Similar Questions

math
true or false A onestory building, having dimensions of 80 ft. x 50 ft. x 20 ft. high, encloses a volume of 8000 cubic feet, and has a floor space of 400 square feet. 
math 2
is a onestory building, having dimensions of 80 ft. x 50 ft. x 20 ft. high, encloses a volume of 8000 cubic feet, and has a floor space of 400 square feet? 
johnson
The length of a rectangular floor is 2 feet more than its width. The area of the floor is 168 square feet. Kim wants to use a rug in the middle of the room and leave a 2 foot border of the floor visible on all sides. What should the … 
algebra
The rectangular floor of a shed has a length 4 feet longer than its width, and its area is 140 square feet. Let x be the width of the floor. (a) Write a quadratic equation whose solution gives the width of the floor. (b) Solve this … 
calculus
A multistoried building has a floor area of 2,000 square feet on the ground floor, 1,995 square feet on the 1st floor, 1,990 square feet on the 2nd floor, and so on. If the areas of the higher floors follow this sequence, what is the … 
Math
You are given the job of laying carpet for a sixstory building. At each floor the dimensions of the floor are 75 meters in length by 40 meters in width. A stairwell takes up a space 2.5 m by 1.5 m, and cuts through each floor. If … 
Algebra
Algebra Word Problems: 1. The length of the floor of a onestorey building is 14 feet longer than its width. The building has 1,632 square feet of floor space. Write a quadratic equation for the area of the floor in terms of w. Find … 
math
mary put new tiles on her kitchen floor. the floor measures 6 feet long by 5 feet wide. she used 10 tiles to cover the entire floor. each tile was 3 feet long. write an equation using the variable x to model this situation. what does … 
math
Jeff is replacing the tile on his floor. he pans to use square tiles that are 11 inches on a side. the floor is 8 feet long and 6 feet wide. cabinet in the middle of the floor that will not need tile. this space is 2 feet wide and … 
math
Work the following area application problem. You are given the job of laying carpet for a sixstory building. At each floor the dimensions of the floor are 75 meters in length by 40 meters in width. A stairwell takes up a space 2.5 …