SOLUTION: 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

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
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