SOLUTION: A rectangular bedroom is 2 ft longer than it is wide. Its area is 288 ft2. What is the width of the room?
Algebra.Com
Question 706370: A rectangular bedroom is 2 ft longer than it is wide. Its area is 288 ft2. What is the width of the room?
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
x = width
x + 2 = length {the room is 2 ft longer than it is wide}
Area of a rectangle = width x length
x(x + 2) = 288 {substituted dimensions into area formula}
x² + 2x = 288 {used distributive property}
x² + 2x - 288 = 0 {subtracted 288 from each side}
(x + 18)(x - 16) = 0 {factored into two binomials}
x + 18 = 0 or x - 16 = 0 {set each factor equal to 0}
x = -18 or x = 16 {solved each equation for x}
x = 16 {width cannot be negative}
width is 16 ft
For more help from me, visit: www.algebrahouse.com
RELATED QUESTIONS
A rectangular bedroom is 2 ft longer than it is wide. Its area is 255 ft2. What is the... (answered by rapaljer)
A rectangular bedroom is 7 ft longer than it is wide. Its area is 228 ft (square) what is (answered by Nate)
a rectangular bedroom is 7 ft longer than it is wide. its area is 228 ft. what is the... (answered by scott8148)
A rectangular bedroom is 7 ft longer than is wide. Its area is 228 ft (square) What is... (answered by Nate)
A rectangular garden is 7 ft longer than it is wide. Its area is 494 ft2. What are its... (answered by filboi)
A rectangular garden is 8 ft longer than it is wide. Its area is 560 ft2. What are its... (answered by Alan3354)
A rectangular bedroom is 7ft longer than it is wide. It's area is 228 ft^2. What are it's (answered by solver91311)
A rectangular bedroom is 7ft. longer than it is wide. Its area is 875ft.^2. What are its... (answered by edjones)
1) A rectangular garden is 9 ft longer than it is wide. Its area is 486 ft2. What are its (answered by ewatrrr)