Ace school

with brainly

  • Get help from millions of students
  • Learn from experts with step-by-step explanations
  • Level-up by helping others

A community for students.

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?

Mathematics
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Join Brainly to access

this expert answer

SEE EXPERT ANSWER

To see the expert answer you'll need to create a free account at Brainly

since 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
wow. thank you

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

Not the answer you are looking for?

Search for more explanations.

Ask your own question