(answer accordingly and explain how or why you think it’s the answer. (provide the math behind it, etc.) i’m not the best at these type of logic questions so would be appreciated! )
1. quickfence ltd has the following method for calculating the price it will charge to put up a new fence:
• labour is charged at $25 per hour, or part of an hour. it takes 45 minutes of labour per metre to put up a new fence.
• fence panels are 2 m long and cost $20 each. if they have to be cut, the price of a full panel is charged.
• fence posts cost $5 each. a post is needed between fence panels and at both ends.
what will be the price for a fence 13 m long?
2. a farmer is planning to create a temporary ‘pen’ for livestock, by cutting a large section of plastic netting into strips, joining the strips together and then fixing the combined length to posts. he decides the fence must be 2 m high, and must form a shape that is nearly square: either a precise square or a rectangle whose length and width do not differ by more than 5 m.
if the length and width are both whole numbers of metres, what is the greatest area than can be created from 156 m2 of netting?