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In Mathematics / High School | 2014-11-25

A timber fence is to be built on sloping land, with the shortest piece of timber measuring 1.2 m and the longest measuring 1.8 m. There are 61 pieces of timber in the fence.

b) What length of timber is needed for the fence altogether?

Asked by logo88

Answer (2)

tn=a+(n-1)d
1.8=1.2+60d
d=.001m=1mm
this is d difference in length
sum=n/2(a+tn) =61/2*3 =91.5m

Answered by Joel0920 | 2024-06-10

The total length of timber needed for the fence is 61.5 meters. This is calculated using the formula for the sum of an arithmetic series, considering the shortest and longest timber lengths. The calculation also accounts for the 61 pieces of timber that will be used.
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Answered by Joel0920 | 2025-02-03

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