Question 1

1.1 Solve for x:

1.2 Simplify the following, without using a calculator:

1.3 Solve for x and y simultaneously:

1.4 The diagram below shows an oval piece of land that Eli acquired for his poultry
project. He decides to use the biggest possible rectangular piece of land out of the
entire piece. The rectangular piece will have a length of 2x metres and a breadth of
y metres, as shown:

1.4.1 Show that the area A, of the rectangle can be written as: A = 280x+ 4x2 given
that the perimeter of the rectangle is 280 m. (3)

1.4.2 Determine the maximum possible area that the rectangle can occupy. (3)

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