Problema Solution

a rug is to fit in a room so that the border of consistent width is left on all four sides. If the room is 15 feet by 25 feet and the area of the rug is 264 square feet, how wide will the border be?

Answer provided by our tutors

let border be x feet

(15-x)(25-x) =264

375 -40x +x^2 -264 = 0

x^2 -40x +111 = 0

(x-3)(x-×7) = 0

x = 3,37

width of border = 3 feet as 37>15