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

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Question 614990: a garden in the form of a square is surrounded by a walkway 2m wide. What are the dimensions of the garden if the area of the walkway is 800 square metres?
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a garden in the form of a square is surrounded by a walkway 2m wide. What are the dimensions of the garden if the area of the walkway is 800 square metres?
.
Let x = length of one side of garden
then
(x+4)(x+4)= 800
x^2+8x+16= 800
x^2+8x-784= 0
applying the "quadratic formula" we get:
x = {24.28, -32.28}
throw out the negative solution (extraneous) leaving:
x = 24.28 m
.