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Rectangular flower bed consisting of tulips

Scenario
You are going to plant a rectangular flower bed consisting of tulips in the middle surrounded by daisies on the outside. You have the same amount of each flower and will need an equal area for each. You want the border of daisies to be uniform around the tulips in the middle, as shown in the diagram attached below:

SHOW and EXPLAIN all steps in your responses to the following parts of the assignment. All mathematical steps must be formatted using the equation editor.

Part 1: Find the total area of flower bed.

Part 2: Write the area of the flower bed as an equation using multiplication of two binomials.

Part 3: Solve your equation from Part 2.

Part 4: Identify the extraneous solution and explain how it was determined to be extraneous.

Part 5: Find the width of the part of the flower bed with the daisies.

Sample Solution

lomatically. This is supported by the “last resort” stance in Frowe, where war should not be permitted unless all measures to seek diplomacy fails (Frowe (2011), Page 62). This means war shouldn’t be declared until one party has no choice but to declare war, in order to protect its territory and rights, the aim of war. However, we can also argue that the war can never be the last resort, given there is always a way to try to avoid it, like sanctions or appeasement, showing Vittola’s theory is flawed. Fourthly, Vittola questions upon whose authority can demand a declaration of war, where he implies any commonwealth can go to war, but more importantly, “the prince” where he has “the natural order” according to Augustine, and all authority is given to him. This is further supported by Aristotle’s Politics ((1996), Page 28): ‘a king is the natural superior of his subjects.’ However, he does later emphasise to put all faith in the prince is wrong and has consequences; a thorough examination of the cause of war is required along with the willingness to negotiate rival party (Begby et al (2006b), Page 312& 318). This is supported by the actions of Hitler are deemed unjustly. Also, in today’s world, wars are no longer fought only by states but also non-state actors like Al-Queda and ISIS, showing Vittola’s normative claim on authority is outdated. This is further supported by Frowe’s claim that the leader needs to represent the people’s interests, under legitimate authority, which links on to the fourth condition: Public declaration of war. Agreed with many, there must be an official announcement on a declaration of war (Frowe (2011), Page 59-60&63). Finally, the most controversial condition is that wars should have a reasonable chance of success. As Vittola reiterated, the aim of war is to establish peace and security; securing the public good. If this can’t be achieved, Frowe argues it would be better to surrender to the enemy. This can be justified because the costs of war would have been bigger (Frowe (2011), Page 56-7). Consequently, jus ad bellum comprises several conditions but most importantly: just cause and proportionality. This gives people a guide whether it’s lawful to enter a war or not. However, this is only one part of the theory of the just war. Nevertheless, it can be seen above that jus ad bellum can be debated throughout, showing that there is no definitive theory of a just war, as it is normatively theorised.
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