SOLUTION: Cynthia Besch wants to buy a rug for a room that is 18 ft wide and 19 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 210 square feet of
Algebra.Com
Question 1084953: Cynthia Besch wants to buy a rug for a room that is 18 ft wide and 19 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 210 square feet of carpeting. What dimensions should the rug have?
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
Let w be the width of the strip. Then the dimensions of the rug would be 19-2w and 18-2w. So:
(19-2w)(18-2w)=210
342-74w+4w²=210
4w²-74w+132=0
(2w-33)(2w-4)=0
w=33/2 or 2
A width of 2 ft for the strip gives rug dimensions of 15 ft. x 14 ft. ☺☺☺☺
RELATED QUESTIONS
Cynthia Besch wants to buy a rug for a room that is 18 ft wide and 31 ft long. She wants... (answered by josmiceli)
Cynthia Besch wants to buy a rug for a room that is 18 ft wide and 31 ft long. She wants... (answered by ikleyn,jorel1380)
Cynthia Besch wants to buy a rug for a room that is
8 ft wide and
19 ft long. She (answered by josgarithmetic,MathTherapy,ikleyn)
Cynthia Besch wants to buy a rug for a room that is 19 ft wide and 30 ft long. She wants... (answered by Alan3354,ikleyn,greenestamps)
Cynthia Besch wants to buy a rug for a room that is 19 ft wide and 31 ft long. She wants... (answered by ikleyn,math_tutor2020)
Cynthia Besch wants to buy a rug for a room that is 19 ft wide and 26ft long. She wants... (answered by josgarithmetic)
Cynthia Besch wants to buy a rug for a room that is 18 ft wide and 27 ft long. She wants... (answered by josgarithmetic)
cynthia besch wants to buy a rug for a room that is 12 ft wide and 15 ft long. she wants... (answered by mananth)
Cynthia Besch wants to buy a rug for a room that is 11 ft. wide and 30 ft. long. She... (answered by ankor@dixie-net.com)