SOLUTION: The length of a rectangular garden is twice its breadth. A square playground measuring 600 m2 occupies one-third of the total area of the garden. The length of the garden in metres

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Question 149568: The length of a rectangular garden is twice its breadth. A square playground measuring 600 m2 occupies one-third of the total area of the garden. The length of the garden in metres is
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The length of a rectangular garden is twice its breadth. A square playground measuring 600 m2 occupies one-third of the total area of the garden. The length of the garden in metres is:
:
If 1%2F3 = 600, the total will be 3*600 ft
:
Let x = garden width
then
2x = garden length
:
The simple equation:
2x * x = 3(600)
;
2x^2 = 1800
:
x^2 = 1800%2F2
;
x^2 = 900
x = sqrt%28900%29
x = 30 m is the width
then
60 m = the length