Answer:
x + 6
Explanation:
From the question given above, the following data were obtained:
Length of rectangle = 3x + 6
Width of rectangle = 4x – 1
Width of door =..?
A careful observation of the diagram shows that the door is located along the length of rectangular room.
In a rectangle, two sides are equal. Therefore,
x + door + x = 3x + 6
Making door subject of the above formula, we have:
x + door + x = 3x + 6
door + x + x = 3x + 6
door + 2x = 3x + 6
Subtract 2x from both side
door + 2x – 2x = 3x + 6 – 2x
door = 3x – 2x + 6
door = x + 6
Therefore, the width of the door is x + 6