SOLUTION: a garden in the form of a square is surrounded by a walkway 2m wide. Whhat are the dimensions of the garden if the area of the walkway is 800 square metres?

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Question 614991: a garden in the form of a square is surrounded by a walkway 2m wide. Whhat are the dimensions of the garden if the area of the walkway is 800 square metres?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the sides of the square garden = +x+ m
The area of the garden is +x%5E2+ m2
The area of the garden plus the walkway is +%28+x+%2B+2+%29%5E2+ m2
The area of the walkway is +800+ m2
I can say:
+%28+x+%2B+2+%29%5E2+=+x%5E2+%2B+800+
+x%5E2+%2B+4x+%2B+4+=+x%5E2+%2B+800+
+4x+%2B+4+=+800+
+4x+=+796+
+x+=+199+
The garden is 199 m x 199 m
check:
+%28+x+%2B+2+%29%5E2+=+x%5E2+%2B+800+
+%28+199+%2B+2+%29%5E2+=+199%5E2+%2B+800+
+201%5E2+=+199%5E2+%2B+800+
++40401+=+39601+%2B+800+
+40401+=+40401+
OK