the perimeter of a rectangular floor is 120 feet. find the dimensions of the floor if the length is twice the width

Question

ranga · Answer

If width = w, what is the length in terms of w?

ranga · Answer

The problem states "the length is twice the width"
So if we assume the width is w  what is the length in terms of w?

ranga · Answer

width = w
length = 2w (because length is twice the width)
Can you calculate the perimeter from the diagram?
|dw:1381105343045:dw|

ranga · Answer

Perimeter is the sum of all sides.  What is the perimeter here?

anonymous · Answer

120

ranga · Answer

Yes, 120 is given in the problem.  But from the diagram can you add all the 4 sides and find the perimeter in terms of w?

ranga · Answer

Perimeter = 2w + w + 2w + w = 6w
Problem states perimeter = 120
So 6w = 120
w = 20
l = 2w = 40
So the dimensions of the floor are: length = 40, width = 20

anonymous · Answer

oh okay! now I see where the equation is coming from thank you!

anonymous · Answer

your awesome!

ranga · Answer

Glad to help.