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1 Calculate the Perimeter of Net above (Show your Workings)

Mathematics

ScanSolve AI Answer

Answer

1760 mm\text{1760 mm}

Step-by-step solution

2 steps
  1. Identify all the outer edges of the net.

    The perimeter of the net is the sum of the lengths of all its outer edges.
    The outer edges are:

    • The two slanted sides of the top triangle (labeled "The Back"): 215 mm215 \text{ mm} each.
    • The right vertical side of the rectangle labeled "Side 1": 200 mm200 \text{ mm}.
    • The bottom horizontal side of the rectangle labeled "Side 1": 150 mm150 \text{ mm}.
    • The bottom horizontal side of the rectangle labeled "The Floor": 200 mm200 \text{ mm}.
    • The bottom horizontal side of the rectangle labeled "Side 2": 150 mm150 \text{ mm}.
    • The left vertical side of the rectangle labeled "Side 2": 200 mm200 \text{ mm}.
    • The two slanted sides of the bottom triangle (labeled "The Front"): 215 mm215 \text{ mm} each.
  2. Sum the lengths of these outer edges.

    Perimeter=(215 mm+215 mm)+200 mm+150 mm+200 mm+150 mm+200 mm+(215 mm+215 mm)\text{Perimeter} = (215 \text{ mm} + 215 \text{ mm}) + 200 \text{ mm} + 150 \text{ mm} + 200 \text{ mm} + 150 \text{ mm} + 200 \text{ mm} + (215 \text{ mm} + 215 \text{ mm}) Perimeter=430 mm+200 mm+150 mm+200 mm+150 mm+200 mm+430 mm\text{Perimeter} = 430 \text{ mm} + 200 \text{ mm} + 150 \text{ mm} + 200 \text{ mm} + 150 \text{ mm} + 200 \text{ mm} + 430 \text{ mm} Perimeter=(430+430) mm+(200+200+200) mm+(150+150) mm\text{Perimeter} = (430 + 430) \text{ mm} + (200 + 200 + 200) \text{ mm} + (150 + 150) \text{ mm} Perimeter=860 mm+600 mm+300 mm\text{Perimeter} = 860 \text{ mm} + 600 \text{ mm} + 300 \text{ mm} Perimeter=1460 mm+300 mm\text{Perimeter} = 1460 \text{ mm} + 300 \text{ mm} Perimeter=1760 mm\text{Perimeter} = 1760 \text{ mm}

    The perimeter of the net is 1760 mm\text{1760 mm}.

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