Question 971100: 2. The length of a flower garden is twice the width and its area is 288 m2. Find the width and length of the garden
Answer by josh_jordan(263)   (Show Source):
You can put this solution on YOUR website! Area of a rectangle is Area = Length x Width
We are told that the length is twice the width. In other words, L = 2W
We are told the area is 288 meters
Now, we can set this up as an equation, be replacing A with 288 and L with 2W:
288 = 2W x W
Multiply 2W by W: 
Divide both sides by 2, giving us:
Now, to get rid of the square in  , take the square root of both sides, giving us:
Finally, find the square root of 144, which is 12.
Note that because a side of a flower bed cannot be a negative number, when we take the square root of both sides, we do not have to add the +- sign before the square root.
So, the Width = 12 meters
To find the length, replace the A with 288 and replace the W with 12. This gives us:
288 = 12L
Now, solve for L by dividing both sides of the equation by 12. This gives us:
24 = L
So, the Length = 24 meters.
Final Answer: Length = 24 meters and Width = 12 meters
|
|
|
