SOLUTION: The length of a rectangular garden is 8 feet longer than its width. If the garden's perimeter is 196 feet, what is the area of the garden in square feet?

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Question 19881: The length of a rectangular garden is 8 feet longer than its width. If the garden's perimeter is 196 feet, what is the area of the garden in square feet?

Answer by zerosignal(28) About Me  (Show Source):
You can put this solution on YOUR website!
Given: length is 8 ft longer than its width, perimeter is 196 ft.
Let x = width (a)
Let x+8 = length (b)
perimeter+=+2a+%2B+2b
196+=+2x+%2B+2%28x%2B8%29
196+=+2x+%2B+2x+%2B+16
196+=+4x+%2B+16
180+=+4x
45+=+xft
therefore, the width of the garden is 45 feet, and the length is 45+8 = 53 feet.
Area of a rectangle is A = a*b
a+=+45%2A53
a+=+2385ft%5E2