Question 284591: the perimeter of a rectangle is 84 cm. The lenght is twice the width. find the length and width.
Answer by bam878s(77)   (Show Source):
You can put this solution on YOUR website! The permiter is simply the distance around the object. For example, if you wish to fence in a yard, you would calculate the distance around the yard (the permieter) in order to find the amount of fencing material you will need.
If we let a = length and b = width, then we know that the perimeter is 2a+2b = 84. Since the length is twice the width we also know that a = 2b. So now we simply plug this into our orignal formula.
2a + 2b = 2(2b) + 2b = 4b + 2b = 84.
Now, we can solve for b.
4b + 2b = 84
6b = 84
b = 14
Now we know length ("a") is twice the width ("b"). So,
a = 2b = 2(14) = 28
So a=28 and b=14 so this is your length and width respectively.
Hope this helps!
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