A rectangular room is 3 meters longer than it is wide, and its perimeter is 30. Find the dimensions of the room

Question

A rectangular room is 3 meters longer than it is wide, and its perimeter is 30. Find the dimensions of the room

Answer 1

w: width of room (m)

l: length of room (m)

l = w + 3. (since we're told the room is 3 m longer than it is wide)

perimeter, p, = 2w + 2l

p = 2w + 2(w + 3) = 30

2w + 2w + 6 = 30

4w = 24

w = 6

l = 6 + 3 = 9

The room's dimensions are 6m by 9m.