Answer:
width = 5 m
Explanation:
let the width of the room be w then the length = 2w + 5 ( that is 5 more than twice its width )
perimeter is the sum of the sides
for a rectangular room the perimeter is calculated as
perimeter = 2 ( length + width ) = 2(2w + 5 + w) = 2(3w + 5)
given the perimeter is 40 m , then equating
2(3w + 5) = 40 ( divide both sides by 2 )
3w + 5 = 20 ( subtract 5 from both sides )
3w = 15 ( divide both sides by 3 )
w = 5
that is the width of the room is 5 m