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This rectangular frame is made from 5 straight pieces of metal - Edexcel - GCSE Maths - Question 5 - 2017 - Paper 1

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This rectangular frame is made from 5 straight pieces of metal. The weight of the metal is 1.5 kg per metre. Work out the total weight of the metal in the frame. ... show full transcript

Worked Solution & Example Answer:This rectangular frame is made from 5 straight pieces of metal - Edexcel - GCSE Maths - Question 5 - 2017 - Paper 1

Step 1

Calculate the Total Length of the Frame

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Answer

The frame is rectangular, consisting of two lengths and two widths. The two lengths are each 12 m, and the two widths are each 5 m. Therefore, the total length of the frame can be calculated as:

extTotalLength=2imes12extm+2imes5extm=24extm+10extm=34extm ext{Total Length} = 2 imes 12 ext{ m} + 2 imes 5 ext{ m} = 24 ext{ m} + 10 ext{ m} = 34 ext{ m}

Step 2

Calculate the Total Weight of the Metal

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Answer

The weight of the metal is given as 1.5 kg per metre. To find the total weight of the metal in the frame, we multiply the total length by the weight per metre:

extTotalWeight=extTotalLengthimesextWeightperMetre=34extmimes1.5extkg/m=51extkg ext{Total Weight} = ext{Total Length} imes ext{Weight per Metre} = 34 ext{ m} imes 1.5 ext{ kg/m} = 51 ext{ kg}

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