A farmer divides a rectangular piece of land into 8 equal-sized rectangular sheep pens as shown in
Question:
A farmer divides a rectangular piece of land into 8 equal-sized rectangular sheep pens as shown in the diagram.
Each sheep pen measures xm by ym and is fully enclosed by metal fencing. The farmer uses 480m of fencing.
i. Show that the total area of land used for the sheep pens, Am2, is given by A = 384x − 9.6x2.
ii. Given that x and y can vary, find the dimensions of each sheep pen for which the value of A is a maximum.
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Step by Step Answer:
i To find the area of all 8 sheep pens we need to find the perimeter of one sheep pen and then multi...View the full answer
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Related Book For 
Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook
ISBN: 9781108407144
1st Edition
Authors: Sue Pemberton, Julian Gilbey
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