A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
Devin wants to have equal amounts of room on all four sides of his ping pong table. A 5ft by 9ft table is placed in the center of a rectangular room that has an area of 221 square feet. What is the width of the clear space Devin will have on all sides of his table?
anonymous
 4 years ago
Devin wants to have equal amounts of room on all four sides of his ping pong table. A 5ft by 9ft table is placed in the center of a rectangular room that has an area of 221 square feet. What is the width of the clear space Devin will have on all sides of his table?

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0since the width of the clear space needs to be equal but the length is unknown, make the width x. add the whole length and width of the room. total length: x + 9 + x = 2x + 9 total width: x + 5 + x = 2x + 5 by multiplying the length and width, you would get the area of the room (221 sq ft). put in an equation. (2x+9)(2x+5) = 221 F.O.I.L the equation. 4x^2 + 28x + 45 = 221 4x^2 + 28x  176 = 0 simplify. x^2 + 7x  44 = 0 obviously, there is no way this polynomial will factor out nicely so use the quadratic formula. b+√b^2  4ac / 2a a = 1 b = 7 c = 44 plugin the numbers. 7+√7^2  4(1)(44) / 2(1) solve for both positive and negative. x = 7+√7^2  4(1)(44) / 2(1) x = 7+√49+176 / 2 x = 7+√225 / 2 x = 7 + 15 / 2 and 7  15 / 2 x = 4 or 11 since the width can't be a negative number, x = 4
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.