Question

A frame is made from six straight pieces of wood.

Work out the total length of the wood in the frame.​

Answer 1

48m

Explanation:

Four pieces are easily found,

6m, 6m, 8m, 8m

The diagonal pieces can be found using Pythagoras theorem

`a^(2)` +
`b^(2)` =
`c^(2)`

Where c is the length of the diagonal piece and a and b are the two sides of the triangle

`8^(2)` +
`6^(2)` =
`c^(2)`

64 + 36 =
`c^(2)`

100 =
`c^(2)`

`√(100)` = c

c = 10

Remember there are two identical diagonal pieces

Total length of the wood = 6 + 6 + 8 + 8 + 10 + 10

Total length of the wood = 48m