Write down an equation for $x$ and $y$.

The area of the swimming pool is ${\text{112}}{{\text{m}}^2}$.

Write down a second equation for $x$ and $y$.

Use your graphic display calculator to find the value of $x$ and the value of $y$.

An Olympic sized swimming pool is $50$ m long and $25$ m wide.

Determine the area of the hotel swimming pool as a percentage of the area of an Olympic sized swimming pool.

$2x + 2y = 44$     (A1)     (C1)

Note: Accept equivalent forms.

$xy = 112$     (A1) (C1)

$8$, $14$     (A1)(ft)(A1)(ft)     (C2)

Notes: Accept $x = 8$, $y = 14$   OR   $x = 14$, $y = 8$

Follow through from their answers to parts (a) and (b) only if both values are positive.

$\frac{{112}}{{1250}} \times 100$     (M1)

Note: Award (M1) for $112$ divided by $1250$.

$= 8.96$     (A1)     (C2)

Note: Do not penalize if percentage sign seen.