Question

the perimeter of a rectangular room is 54 m. the length is 6 m longer than the width. what are the dimensions of the room?

Answer 1

Answer:

Step-by-step explanation:

Width =w

Length = w + 6

Perimeter of rectangular room = 54 m

2*(length +width ) = 54

2*(w +6 + w) = 54

2*(w +w + 6) = 54      {Combine like terms}

2*(2w + 6) = 54

Use distributive property

2*2w + 2*6 = 54

  4w + 12    = 54

Subtract 12 form both side

4w = 54 - 12

4w = 42

Divide both sides by 4

w = 42/4

w = 10.5 m

Length = 10.5 + 6 = 16.5 m

Length = 16.5 m

Width = 10.5 m