Problema Solution
This is a Algebra plane geometric figure problem as asked by an anonymous visitor which read, "catrina and tom want to buy a rug for a room that s 14 by 15 feet. They want to leave an even strip of flooring uncovered around the edges of the room. How wide a strip if they buy a rug with an area of 110 square feet?"
Answer provided by our tutors
it's easier to picture this. Draw a rectangle that's almost a square 14 x 15 feet. Within in draw another such figure but smaller. The space between that figure and the 14 x 15 figure is x. Now the smaller square has an area of 110 square feet. We now have an equation :
(15 -x ) (14 -x ) = 110
210 + x^2 -14x - 15x = 110
x^2 - 29x + 210 = 110
x^2 -29x + 100 = 0
(x - 25)(x - 4) = 0
x = 4 or 25 however using 25 would result in negative dimensions which does not make sense. So 4 is the answer