Simultaneous Equations Structured Questions | Cambridge O Level Additional Mathematics

(a)

Write down two simultaneous equations in $x$ and $y$ representing the total fencing length and the total enclosed area.

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(b)

Show that $x$ satisfies the quadratic equation $3x^2 - 120x + 900 = 0$ .

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(c)

Solve the equation to determine the two possible sets of dimensions $(x, y)$ for the enclosure.

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(d)

The farmer specifies that the width $x$ must be strictly greater than the depth $y$ . State the required dimensions of the enclosure and calculate the area of a single pen.

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