Question 686404
In order to solve this word problem, you will need to know the formula for finding the perimeter of a rectangle:  2L + 2W = P, where L stands for Length, W stands for Width, and P stands for Perimeter.  

Next, let's look at what the problem gives us:

Length of Rectangle = 4 times it's width

In other words, L=4W

And

Perimeter = 70

Now, substitute 4W for L in the formula for finding the perimeter of a rectangle, and substitute 70 for P in that same formula:

2(4W) + 2W = 70

Now, multiply 2 by 4W:

2*4W = 8W

So, we have 

8W + 2W = 70

which gives us

10W = 70

Now, divide both sides of the equal sign by 10:

{{{10W/10 = 70/10}}}

which gives us

W = 7

So, we now know the width of the rectangle.  We also know that the length is 4 times the width, so to find the length, just multiply the width by 4:

7 x 4 = 28

Therefore, the length of the rectangle is 28cm and the width is 7cm.