Can someone help me solve this?

[AESTHETIC299]

The square is divided into three rectangles with equal areas.
find length of the square if only thing we know is the perimeter of dark rectangle.
p = 18cm

 

[skeeter]

let [MATH]A[/MATH] be the area of the square, [MATH]L[/MATH] the length and [MATH]W[/MATH] the width of the shaded rectangle

bottom two rectangles are congruent

[MATH]2(L+W) = 18[/MATH][MATH]LW = \frac{A}{3}[/MATH][MATH](2W)^2 = A[/MATH]

 

[Deleted member 4993]

View attachment 25905
The square is divided into three rectangles with equal areas.
find length of the square if only thing we know is the perimeter of dark rectangle.
p = 18cm

Since the two vertical rectangles have same areas and same height - the width of the rectangles must be equal.

What does it (equal area) say about the heights of those rectangles?

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