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Pat a Mat se
planuji usidlit v male chaloupce kdesi v Ceske Kanade. Aby jim
lesni zver nechodila plundrovat jejich zahradku, rozhodli se svuj
pozemek ohradit. Uz presne vi, jak bude novy plot vypadat.
Podezdivka bude betonova, sloupky cihlove a vyplne poli z drevenych
planek. Takhle pekny planek si nakreslili:
Jak vite, Pat a Mat jsou sice zrucni
kutilove, ale pri kupeckych poctech ve skole chybeli. Poradte jim s
nakupem materialu, jestlize vite, ze:
- Ctvercovy pozemek ma rozlohu 225 m2.
- Rozestupy mezi sloupky musi byt pravidelne.
- Sirka plotoveho pole (vzdalenost mezi sloupky) musi byt min.
160 cm.
- Vodorovne latky prodavaji nejdelsi 220 cm.
- Plotove planky prodavaji pouze v sirce 4 cm.
- Sirka planek a mezer mezi nimi musi byt stejna na celem
plote.
- Cihla ma rozmery 30 × 15 × 7.5 cm.
- Celkova vyska cihloveho sloupku nad podezdivkou ma vcetne
betonove cepice merit 155 cm.
- Pudorys sloupku ma 30 × 30 cm
- Sirka betonove podezdivky je 30 cm.
- Cihlovy sloupek je prikryt hranatou betonovou cepici o
rozmerech 30 × 30 × 5 cm.
- Celkova vyska betonove podezdivky vcetne zakladu v zemi cini 80
cm.
- Kazda planka je prichycena k obema vodorovnym latkam dvema
hrebiky.
- Vodorovne latky se dotykaji sloupku.
- Krajni planky se nedotykaji cihloveho sloupku, tzn. drevena
vypln vzdy zacina mezerou
- Vodorovne latky lze zkratit, ale ne napojovat.
- Krome betonu, cihel, latek, planek a hrebiku se nepouzije zadny
jiny material (cihly ve sloupcich drzi bez malty; patky
pripevnujici latky ke sloupkum a potrebne srouby Patovi "prebyly" v
praci
 ).
Uz to mate? Takze ted vite, ze Pat a Mat potrebuji:
- CAEA hrebiku,
- FCF svislych planek,
- DF vodorovnych latek,
- CCAG cihel a
- CB.AEH m3 betonu
Napiste jim tedy vzkaz do jejich schranky na souradnicich:
N49° 0B.(HAB-ED) E1D°
(F×G-G).(A×BCD-BG)
Pat & Mat,
the two famous do-it-yourself men plan to relocate to the beautiful
Czech Canada. They need to build a fence in order to protect their
garden from the wild beasts. They know exactly how their enclosure
shall look like. The retaining wall will be made of concrete, the
columns of bricks, and the spans of wooden planks. Look at their
drawing.
Although Pat and Mat are skifull
handymen, their computing capabilities are not so perfect due to
their frequent hookey-playing. Please help them with their purchase
of the necessary material. You know that:
- A square plot has an area of 225 sq m.
- The distances between columns must be equal.
- The spans (the distances between the columns) must be at least
160 cm.
- The longest horizontal laths available in the local store are
220 cm long.
- The planks are sold exclusively in the width of 4
centimetres.
- The widths of the planks as well as of the spaces must be the
same along the entire fencing.
- A brick has a dimension of 30 × 15 × 7.5 cm.
- The total height of the brick column above the concrete
retaining wall including the concrete cap must be 155 cm.
- The platform of the column should be 30 × 30 cm
- The width of the concrete retaining wall is 30 cm.
- All brick brick columns are covered with a concrete cap with
the dimensions of 30 × 30 × 5 cm.
- The total height of the concrete retaining wall including its
underground foundation is 80 cm.
- Each plank is adherent to both horizontal laths by two
nails.
- Horizontal laths touch the columns.
- The terminal planks do not touch the columns, ie. all fillers
starts by a space.
- The horizontal planks can be shorted, but not extended.
- Except for concrete, bricks, laths, planks, and nails, no other
material will be used. (The bricks in the columns are fixed without
a mortar. The springings binding the laths to the columns as well
as the screws Pat took as a souvenir from his work
).
Have you got it? OK, now you know that Pat and Mat need:
- CAEA nails,
- FCF vertical planks,
- DF horizontal laths,
- CCAG bricks, and
- CB.AEH m3 of concrete
Leave them a message at the coordinates:
N49° 0B.(HAB-ED) E1D°
(F×G-G).(A×BCD-BG) |