SOLUTION: A rectangle is 4 times as long as it is wide. The area is 196 square feet. What is the perimeter of the rectangle?

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Question 703712: A rectangle is 4 times as long as it is wide. The area is 196 square feet. What is the perimeter of the rectangle?
Answer by Simnepi(216) About Me  (Show Source):
You can put this solution on YOUR website!
let x be the width of the rectangle. The length is four times the width so the length is 4x.
Now, Area = length multiplied by width so
196 = 4x * x this is 196=4x%5E2
dividing by 4 gives
x%5E2=49
to 'undo' the 'squared' we have to find the square root
so x=sqrt%2849%29
therefore x = 7
Now we find the perimeter of the rectangle
If x = 7 (the width) then 4x = 28 (the length)
Perimeter of a rectangle is
2(length+width) giving
2(28+7) = 2(35) = 70
The perimeter is 70 feet