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Two squares with sides of lengths 2 and 4 are arranged side-by-side, as shown below, so that one side of each square lies on line AB and a segment connects the bottom left corner of the smaller square to the upper right corner of the larger square. What is the area of the shaded quadrilateral?

I cant attach the picture, but the area of the shaded quadrilateral is refering to the section of the bigger quadrilateral, the one with side lengths 4 and the lower section, that lies on line AB.

Jun 1, 2022

#1
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< I cant attach the picture >

The pic can be seen at  https://www.gauthmath.com/solution/1725613842539525

Jun 2, 2022
#2
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From the image provided, we see that the line forms a triangle with an area of $$6 \times 4 \div 2 = 12$$.

The smaller, unshaded triangle is similar to the large triangle, with a side ratio of $$1 \over 3$$. This means that area of the small triangle is $$1 \over 9$$th of the bigger triangle.

Can you take it from here?

Jun 3, 2022