Determine the area of the green square
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Solution
On the left side we have a square with side \(1.5\). On the right side we have three squares of sides \(1,\; 2\;\) and \(\; 3\)
Using similarity, we get a vertical side which is twice the horizontal side.
If the square’s side is equal to \(x\)
, then its area is equal to \(x^{2}\). Using Pythagoras theorem in the right triangle we get:
\[x^{2}= 3^{2} + 6^{2}\]
\[=45\]
Therefore, the green square’s area is equal to \(45\).
Home -> Solved problems -> Determine the area of the green square
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Home -> Solved problems -> Determine the area of the green square