Question 950251
Let x = one leg length of triangle 


the width of the room, is 4 feet more than two times the other leg

width = 2x+4    

use pythagoreous therem 
 One leg = x   other leg = 2x+4  hyptenuse = 26

     x^2+(2x+4)^2=26^2

     x=10     length = 10 feet  and width = 24 feet