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The length of an aluminium strip is 40 cm. If the lengths in cm are measured in natural numbers, write the measurement of all the possible rectangular frames which can be made out of it. (For example, a rectangular frame with 15 cm length and 5 cm breadth can be made from this strip.)

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Perimeter of rectangular frame = Length of the aluminium strip

⇒ 2(length + breadth) = 40 cm

⇒ length + breadth = 40/2 cm = 20 cm

∴ The possible measurement of rectangular frames are 1 cm × 19 cm, 2 cm × 18 cm, 3 cm × 17 cm, 4 cm × 16 cm, 5 cm × 15 cm, 6 cm × 14 cm, 7 cm × 13 cm, 8 cm × 12 cm, 9 cm × 11 cm, 10 cm × 10 cm

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