A line PQ = 12.5cm. By using another line, divide PQ into nine equal parts.

A line PQ = 12.5cm. By using another line, divide PQ into nine equal parts.

Huu ni mchoro wa kijiometri. Hapa kuna hatua za kugawa mstari PQ katika sehemu tisa sawa:

1. Chora mstari PQ wenye urefu wa $12.5 \text{ cm}$.
2. Kutoka nukta P, chora mstari mwingine (ray) PR kwa pembe kali (acute angle) na mstari PQ.
3. Kutumia rula na dira (compass), weka alama tisa kwenye mstari PR, kuanzia P, kwa umbali sawa. Kwa mfano, unaweza kuweka alama kila $1 \text{ cm}$ au umbali mwingine wowote unaofaa. Ziite $P_1, P_2, P_3, \dots, P_9$.
4. Unganisha nukta ya mwisho ya alama kwenye PR ($P_9$) na nukta Q. Hivyo utapata mstari $P_9Q$.
5. Kutoka kila nukta nyingine ($P_1, P_2, \dots, P_8$) kwenye mstari PR, chora mistari sambamba na $P_9Q$. Mistari hii itakata mstari PQ katika nukta nane.
6. Nukta hizi nane, pamoja na P na Q, zitagawa mstari PQ katika sehemu tisa sawa.

The sum of the interior angles of a polygon is $1980^\circ$. Find the number of sides the polygon has.

The diagram below is a sketch of a rice field (not drawn to scale), use it to generate a surveyor's field book. (All measurements are in metres)

Hapa chini ni kitabu cha shamba cha mpimaji (surveyor's field book) kulingana na mchoro uliotolewa. Mstari wa msingi (baseline) ni XY, na vipimo vyote viko katika mita.