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A rectangular cloth has a piece cut out. The remaining cloth is shown in the diagram, with dimensions labeled. What were the original dimensions of the cloth?

Mathematics

ScanSolve AI Answer

Step 1: Identify the dimensions of the original rectangular cloth.
The problem states that the original piece of cloth was rectangular. The dotted lines indicate the original shape.
From the top side, the length is 14 cm+11 cm=25 cm14 \text{ cm} + 11 \text{ cm} = 25 \text{ cm}.
From the bottom side, the length is 13 cm+12 cm=25 cm13 \text{ cm} + 12 \text{ cm} = 25 \text{ cm}. These are consistent. So, the length of the rectangle is L=25 cmL = 25 \text{ cm}.
From the right side, the width is 14 cm+16 cm=30 cm14 \text{ cm} + 16 \text{ cm} = 30 \text{ cm}.
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