As shown in the figure, the rectangle ABCD with a circumference of 68cm is divided into seven identical small rectangles, and the area of the rectangle ABCD is______ ．

As shown in the figure, the rectangle ABCD with a circumference of 68cm is divided into seven identical small rectangles, and the area of the rectangle ABCD is______ ．

Suppose the length of a small rectangle is xcm and the width is YCM, then the system of equations 4x + 7Y = 682x = 5Y can be formulated. The solution is: x = 10Y = 4, then the area of rectangle ABCD = 2x × (x + y) = 2 × 10 × (10 + 4) = 280cm2. So the answer is: 280cm2

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