# math

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a piece of fabric measuring 32 cm by 15cm was required for each pupil in a year 8 DT lesson. what was the minimum length of 120 cm wide fabric required for 28 pupils?

• math -

Assuming no loss in the cutting, how would I would cut 3 strips of 32 cm long, each subdivided into 8 pieces of 15 cm wide. This will take care of 24 pupils.
For the remaining 4 students, we cut in the direction, giving an extra length of 30 cm. with some waste.

The total length is therefore
3*32+2*15=116 cm

If we had cut in the same direction for everyone, there will be more waste, with a total length of 4*32=128 cm.

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