Photo AI

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 Frame

96%

114 rated

Answer

To find the total weight, we first need to calculate the perimeter of the rectangular frame. The perimeter (P) of a rectangle is given by the formula:

$P = 2 \times (\text{Length} + \text{Width})$

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

$P = 2 \times (12 + 5) = 2 \times 17 = 34 \text{ m}$

Step 2

Calculate the Total Weight

99%

104 rated

Answer

Next, we will calculate the total weight of the metal in the frame. Given that the weight of the metal is 1.5 kg per metre, the total weight (W) can be calculated as follows:

$W = \text{Weight per metre} \times \text{Perimeter}$

Substituting in the values we have:

$W = 1.5 \text{ kg/m} \times 34 \text{ m} = 51 \text{ kg}$

Join the GCSE students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;