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Study the net of the triangular prism tuck shop below and answer the questions that follow. 1.1 Calculate the Perimeter of Net above (Show your Workings) 1.2.1 Calculate the Area of the Floor (Give your answer in mm²): Length: 200 mm Width: 150 mm

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2 parts
1.1

1632 mm1632 \, \text{mm}

1.2

30000 mm230000 \, \text{mm}^2

Step-by-step solution

4 steps

To solve the problems, let's break them down:

Part 1.1· 3 steps

Calculate the Perimeter of the Net

The net consists of a rectangle and two triangles. The rectangle has a length of 200 mm and a width of 150 mm. Each triangle has sides of 216 mm and 250 mm.

  1. Calculate the perimeter of the rectangle.

    • The perimeter of a rectangle is given by P=2×(length+width)P = 2 \times (\text{length} + \text{width}).

  2. Calculate the perimeter of the triangles.

    • Each triangle has two sides of 216 mm and 250 mm. Since there are two triangles, we multiply by 2.

  3. Add the perimeters together.

    Prectangle=2×(200+150)=2×350=700 mmP_{\text{rectangle}} = 2 \times (200 + 150) = 2 \times 350 = 700 \, \text{mm} Ptriangles=2×(216+250)=2×466=932 mmP_{\text{triangles}} = 2 \times (216 + 250) = 2 \times 466 = 932 \, \text{mm} Ptotal=Prectangle+Ptriangles=700+932=1632 mmP_{\text{total}} = P_{\text{rectangle}} + P_{\text{triangles}} = 700 + 932 = 1632 \, \text{mm}

    The perimeter of the net is 1632 mm\boxed{1632 \, \text{mm}}.

Part 1.2

30000 mm230000 \, \text{mm}^2

Calculate the Area of the Floor

The floor is a rectangle with a length of 200 mm and a width of 150 mm.

  1. Use the formula for the area of a rectangle, A=length×widthA = \text{length} \times \text{width}.

    A=200×150=30000 mm2A = 200 \times 150 = 30000 \, \text{mm}^2

    The area of the floor is 30000 mm2\boxed{30000 \, \text{mm}^2}.

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