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14 February, 13:11

This rectangular frame is made from 5 straight pieces of metal.

5 m

12 m

The weight of the metal is 1.5 kg per metre.

Work out the total weight of the metal in the frame.

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Answers (1)
  1. 14 February, 13:20
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    Total weight = 70.5 kg

    Step-by-step explanation:

    Rectangular frame is made from 5 straight pieces of metal. One of them goes through the diagonal of the rectangle.

    2 pieces form the length of the rectangular frame, hence, they have a length of 12 m each

    2 pieces from the width of the rectangular frame, hence, they a length of 5 m each

    To find the length of the diagonal, we can use Pythagoras Theorem:

    Hypotenuse² = Base² + Perpendicular²

    Hypotenuse² = 5² + 12²

    Hypotenuse² = 169²

    Hypotenuse = 13

    Hence, the length of the piece of metal placed at the diagonal is 13cm

    Find the sum of all lengths of the metal pieces.

    Total length = 12 + 12 + 5 + 5 + 13

    Total length = 47 m

    Total weight = 1.5 * Total length

    Total weight = 1.5 kg/m * 47m

    Total weight = 70.5 kg
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