SOLUTION: a rug is to fit a room so that a border of even width is left on all four sides. If the room is 21 by 24 feet and the area of the rug is 238 square feet, how wide will the border b

Algebra.Com
Question 1048668: a rug is to fit a room so that a border of even width is left on all four sides. If the room is 21 by 24 feet and the area of the rug is 238 square feet, how wide will the border be?

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = the width of the border

( do you see why I subtracted from each dimension ? )



Use quadratic formula







( only the minus square root works here )



The border is 3.5 ft wide
-------------------------
check:





OK

RELATED QUESTIONS

A rug is to fit in a room so that a border of even width is left on all four sides. If... (answered by josgarithmetic)
A rug is to fit in a room so that a border of even width is left on all four sides. If... (answered by scott8148)
A rug is to fit in a room so that a border of even width is left on all four sides. If... (answered by ankor@dixie-net.com)
A rug is to fit in a room so that a border of even width is left on all four sides. If... (answered by ankor@dixie-net.com)
A rug is to fit in a room so that a border of even width is left on all four sides. If... (answered by Boreal)
Solve using the five-step problem-solving process. Show all steps necessary to arrive at... (answered by mananth)
A rug is to fit in a room so that a border of consistent width is left on all four sides. (answered by ewatrrr)
A rug is to fit in a room so that a border of even width is left on all four sides. If... (answered by CharlesG2)
Hello, Please help me with this story problem...I am terrible at them. I got the... (answered by edjones)