Question 741102: I used 60 m of fencing to my rectangular garden. The length is 4 m longer than the width. What are the length and width of the garden.
Answer by only4christ2(12)   (Show Source):
You can put this solution on YOUR website! The problem states that Length is 4 meters longer than the width. This means you have the equation: L = W + 4. Since the Perimeter is 60 meters, we just need to put this information into the formula for the perimeter of a rectangle.
P = L + L + W + W = 2L + 2W
60 = 2(W + 4) + 2W Use the distributive property
60 = 2W + 8 + 2W Collect like terms
60 = 4W + 8 Subtract 8 from both sides
52 = 4W Solve for W by dividing both sides by 4
13 = W; thus, W = 13 m
Now that we have the width, we have to find the length. The Length is 4 meters longer than the width. So, L = 13 + 4 = 17 m
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