5. Parents want to arrange and fence a rectangular flower bed. The lengths of its sides need to be natural numbers in meters, and the area must be $24 \mathrm{~m}^{2}$. What will be the total cost of the fence, if 1 m of the fence costs 75 kuna? Find all possibilities!

## Tasks for 10 points:
5. If the area of a rectangle is $24 \mathrm{~m}^{2}$, and the lengths are natural numbers expressed in meters, the lengths of the sides can be the pairs:

$\{1,24\},\{2,12\},\{3,8\},\{4,6\}$.

2 POINTS

(If only one, two, or three pairs of numbers are given, then 1 POINT is achieved).

$o_{1}=2 \cdot(1+24)=50 \mathrm{~m}$

$o_{2}=2 \cdot(2+12)=28 \mathrm{~m}$

$o_{3}=2 \cdot(3+8)=22 \mathrm{~m}$

$o_{4}=2 \cdot(4+6)=20 \mathrm{~m}$

2 POINTS

The total cost of the fence can be:

$50 \cdot 75=3750 \mathrm{kn}$

$28 \cdot 75=2100 \mathrm{kn}$

$22 \cdot 75=1650 \mathrm{kn}$

$20 \cdot 75=1500 \mathrm{kn}$

2 POINTS

TOTAL 6 POINTS

Note: If a student provides only one possibility and correctly calculates the cost of the fence, they should receive a total of 2 POINTS, for providing two possibilities 3 POINTS, and for three 4 POINTS (with the correct calculation of the fence cost).