SOLUTION: The length of a rectangular garden is 5 feet greater than the width. The area of the garden is 300 square feet. Find the length and the width.

Question 992419: The length of a rectangular garden is 5 feet greater than the width. The area of the garden is 300 square feet. Find the length and the width.
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
So, the length= W+5. Therefore, using this value for the length and applying it to the formula for area of the rectangle:
W*W+5= 300
W^2+5W= 300 Now we subtract 300 from both sides:
W^2+5W-300= 0 Factor the left side:
(W-15)(W+20)= 0 Break into 2 equations
W-15= 0 or W+20=0 Solve each
W= 15 or W= -20 Let's try our first answer, 15:
15*15+5= 300
15*20= 300 and 15*20= 300 so this answer is correct The W=15 and L=20

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