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

Question 5

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 Perimeter of the Rectangle

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Answer

To find the total weight of the metal frame, we first need to calculate the perimeter of the rectangular frame. This is done using the formula for the perimeter of a rectangle, which is:

$ext{Perimeter} = 2 imes ( ext{Length} + ext{Width})$

In this case, the length is 12 m and the width is 5 m. Thus:

$ext{Perimeter} = 2 imes (12 + 5) = 2 imes 17 = 34 ext{ m}$

Step 2

Calculate the Total Weight of the Frame

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Answer

Now that we have the perimeter, we can calculate the total weight. Since the weight of the metal is 1.5 kg per metre, the total weight can be calculated as follows:

$ext{Total Weight} = ext{Perimeter} imes ext{Weight per metre}$

Substituting the values we have:

$ext{Total Weight} = 34 imes 1.5 = 51 ext{ kg}$

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