Question
Three planks of different lengths, H, J and K are nailed together to make a frame as shown. Plank H has 3 holes which divide it into 4 equal parts. Plank J has 4 holes which divide it into 5 equal parts and Plank K has 5 holes which divide it into 6 equal parts. In the frame, the holes F, G and H are three corners of an equilateral triangle. Plank H is 288 cm long. What is the total length of Plank H, Plank J and Plank K?
3 m

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Three planks of different lengths, H, J and K are nailed together to make a frame as shown. Plank H has 3 holes which divide it into 4 equal parts. Plank J has 4 holes which divide it into 5 equal parts and Plank K has 5 holes which divide it into 6 equal parts. In the frame, the holes F, G and H are three corners of an equilateral triangle. Plank H is 288 cm long. What is the total length of Plank H, Plank J and Plank K?