A rectangular frame is made from 5 straight pieces of metal with height 5m and length 12m. One of the pieces of metal goes through the diagonal of the rectangle. The weight of the metal is 1.5 kg per metre. Work out the total weight of the metal

Firstly, I would suggest that we draw a diagram to visualise the problem. Using the diagram and knowledge of rectangles, you can see that the rectangle is made of two right angled triangles. Thus we can use Pythagoras' Theorem, A^2 + B^2 = C^2 to find the length of the diagonal piece of metal. Setting A=5m and B=12m, you can compute that C=13m. Next, you need to find the perimeter of the rectangle. As you know that the length and width are 12 and 5 respectively you can calculate the perimeter to be 5m+5m+12m+12m=34m. Adding the length of the diagonal you can tell that the total length of the metal pieces are 34m+13m=47m. Finally, multiply the total length of the metal pieces by the weight of 1m of metal. Thus 1.5*47=70.5(Answer)

CB
Answered by Charlie B. Maths tutor

17152 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

root3 (root6 + root12) can be written as Aroot2 + B


Vectors a and b are defined by a = 2i + 3j and b = 4i - 2j, find 3a-b in terms of i and j


Solve 2x + 7 = 13


Ben wants to book tickets to see a concert. The price of the ticket is £65. He must also pay a booking fee, which is 15% of the ticket price. Ben has £75, does he have enough money to pay for the ticket and booking fee?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences