Two similar polygons, means a similarity would exist in both polygons
Perimeter of a rectangle = 2(l +w)
Perimeter of the larger rectangle = 36 (because it's the largest figure)
equation becomes 36 = 2(L + W)
since L = 14, it becomes = 36 = 2(14 +W)
36 = 28 + 2W
2W = 36 - 28 = 2w = 8
w = 4.
Now we assume that since the rectangles are similar, they would have similar dimensions, in this case Width. so with this, we find length of smaller rectangle.
21 = 2(L + 4) = 21 = 2L + 8
2L = 21 - 8 = 2L = 13
L = 13/2 = 6.5.
lastly the product of the length of both polygons = 14 * 6.5 = 91.
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