b) A farmer wants to put a fence around a rectangular paddock which is part of his block (see diagram below). Only three sides must be fenced since the fourth side is already fenced by his neighbour farmer as part of the border between the two blocks. The Farmer has 560 metres of fencing wire. ii) i) fencing wire. x Already fenced x y Write an equation of the perimeter needing fencing with 560 metres of Write an equation for the area of the paddock only in terms of the side x. iii) Find the maximum area for the paddock if using only 560 metres of fencing wire for the three sides.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section: Chapter Questions
Problem 40CLR
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Question
b)
A farmer wants to put a fence around a rectangular paddock which is part of his block
(see diagram below). Only three sides must be fenced since the fourth side is already
fenced by his neighbour farmer as part of the border between the two blocks. The
Farmer has 560 metres of fencing wire.
ii)
i)
fencing wire.
x
Already fenced
x
y
Write an equation of the perimeter needing fencing with 560 metres of
Write an equation for the area of the paddock only in terms of the side x.
iii)
Find the maximum area for the paddock if using only 560 metres of fencing
wire for the three sides.
Transcribed Image Text:b) A farmer wants to put a fence around a rectangular paddock which is part of his block (see diagram below). Only three sides must be fenced since the fourth side is already fenced by his neighbour farmer as part of the border between the two blocks. The Farmer has 560 metres of fencing wire. ii) i) fencing wire. x Already fenced x y Write an equation of the perimeter needing fencing with 560 metres of Write an equation for the area of the paddock only in terms of the side x. iii) Find the maximum area for the paddock if using only 560 metres of fencing wire for the three sides.
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