Question 686404: the length of a rectangular is 4 times its width. If the perimeter is 70cm, find the legth and width of the rectangular
Answer by josh_jordan(263)   (Show Source):
You can put this solution on YOUR website! 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:
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.
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