The fence around the garden Mandla would like to erect a fence on all four sides of his new garden with an area of 225m". The fencing will cost him R35 per metre. In order to use the least fencing, he wants the perimeter of the garden to be a minimum. The fence will be supported by wooden fence poles, approximately 1,5m apart. A gate 1,5m long, made of the same fence, can be placed between any two poles. Each wooden fence pole will cost R9.50 3.1 For minimum perimeter, what shape should the garden be? 3.2 Calculate the length of each side of the garden. 3.3 How many metres of fencing will he need? 3.4 How many fence poles will he need? 3.5 How much will the fencing and the fence poles, excluding the gate, cost him?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The fence around the garden
Mandla would like to erect a fence on all four sides of his new garden with an area of 225m".
The fencing will cost him R35 per metre. In order to use the least fencing, he wants the perimeter of the
garden to be a minimum. The fence will be supported by wooden fence poles, approximately 1,5m apart.
A gate 1,5m long, made of the same fence, can be placed between any two poles. Each wooden fence pole
will cost R9.50
3.1 For minimum perimeter, what shape should the garden be?
3.2 Calculate the length of each side of the garden.
3.3 How many metres of fencing will he need?
3.4 How many fence poles will he need?
3.5 How much will the fencing and the fence poles, excluding the gate,
cost him?
Transcribed Image Text:The fence around the garden Mandla would like to erect a fence on all four sides of his new garden with an area of 225m". The fencing will cost him R35 per metre. In order to use the least fencing, he wants the perimeter of the garden to be a minimum. The fence will be supported by wooden fence poles, approximately 1,5m apart. A gate 1,5m long, made of the same fence, can be placed between any two poles. Each wooden fence pole will cost R9.50 3.1 For minimum perimeter, what shape should the garden be? 3.2 Calculate the length of each side of the garden. 3.3 How many metres of fencing will he need? 3.4 How many fence poles will he need? 3.5 How much will the fencing and the fence poles, excluding the gate, cost him?
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