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**L.O. Investigating perimeter - finding all possibilities**

Sir Rubin has a horse pen which uses 36 m of fencing. One night, during a storm, the horse pen is destroyed.

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The knight wants to re-build the rectangular pen, but has only 36m of fencing and cannot remember the exact dimensions from the first pen. Can you help ? Remember: the pen is rectangular only 36m of fence can be used

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**L.O. Solving mathematical puzzles and problems**

Sir Rubin finds some extra fencing. He builds a rectangular enclosure like this…… His squire, Neil, builds another enclosure with the perimeter of…. How much fencing have they used ?

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**Have both goats got the same amount of grass?**

Sir Rubin says to Neil, “That’s not right. Your horse has got more grass to eat than mine.” Neil replies,” That can’t be true. Mine can’t have more grass because we both used the same amount of fencing.” Have both goats got the same amount of grass? Sir Rubin and Neil need to find out how to make the rectangle of fencing using 48m so that each of their horses gets the greatest amount of grass possible. Can you help them?

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**L.O. Solving mathematical puzzles and problems**

· The knight checks and he has exactly £134 to build a new rectangular enclosure. He wants to enclose as much grass as possible so that both horses can share the space. · He decides to buy a fence post for each corner of the rectangle and twine netting for the fencing.

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Fence posts cost £3.50 each. Twine netting costs £2.00 per metre. How long and wide should the rectangle be so the horses can have as much grass as possible?

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