Elizabeth wants narrow wooden frames for three different sized photos, the smallest frame measuring 2x2cm?

Question

the second 3x3cm, and the largest 4x6cm. If each frame is made up of four pieces of timber to go around the edge of the photograph and one diagonal support, how much timber is needed to make the three frames? Give your answer in simplest SURD form..

[[i need the working out, and steps on how to do it]] THANKS!

Answer 1

For the frame

= 4*2 + 4*3 + 2*4 + 2*6

= 8+12+8+12

=40 cm

for the diagonal support

= (2*2 + 2*2)^1/2 + (3*3 + 3*3)^1/2 + (4*4 + 6*6)^1/2

= (8)^1/2 + (18)^1/2 + (52)^1/2

= 2.83 + 4.24 + 7.2

=14.27

Total timber needed is 40+14.27 = 54.27 cm