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We'll choose s s s to represent the side of the square and h h h to represent the shared height of the blue and red rectangles. First, we'll add together the side lengths of all three rectangles. In several instances, red, blue, and green pieces will combine to produce a length equal to s , s, s , the side length of the square.
This will give us a total of 6 6 6 lengths, each equivalent to s. Additionally, there are 2 times that the heights of the red and blue rectangles are added in, where they can't be combined with anything else.
Since they have the same perimeter and share the same height h , h, h , that means that they must also have the same width. So they are both congruent rectangles with a height of h h h and a width that is equal to half s , s, s , or s 2. We can then add the side lengths of just one of these rectangles we'll take the blue one to create another equation. Three of the triangles have perimeters of , , 3 0 0 , , , 2 2 4 , and , , 1 6 8 , as indicated by the numbers inside them.
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Perimeter Dark Red ml - Applejack
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