A surveyor is using a topographical map with a scale 1:50000 to estimate the size of a water reservoir near a construction site.The area of the reservoir on map measure 6.16 centimeters square.calculate the size of water reservoir in hectares

Kiwango cha ramani ni $1:50000$. Hii inamaanisha $1 \text{ cm}$ kwenye ramani inawakilisha $50000 \text{ cm}$ katika uhalisia. Kwa eneo, kiwango kinakuwa mraba wa kiwango cha urefu:

$$\text{Kiwango cha eneo} = (50000)^2$$ $$\text{Kiwango cha eneo} = 2,500,000,000$$

Hivyo, $1 \text{ cm}^2$ kwenye ramani inawakilisha $2,500,000,000 \text{ cm}^2$ katika uhalisia.

Eneo kwenye ramani ni $6.16 \text{ cm}^2$.

$$\text{Eneo halisi katika cm}^2 = 6.16 \text{ cm}^2 \times 2,500,000,000$$ $$\text{Eneo halisi katika cm}^2 = 15,400,000,000 \text{ cm}^2$$

Tunajua kuwa $1 \text{ m} = 100 \text{ cm}$, hivyo $1 \text{ m}^2 = (100 \text{ cm})^2 = 10,000 \text{ cm}^2$.

$$\text{Eneo halisi katika m}^2 = \frac{15,400,000,000 \text{ cm}^2}{10,000 \text{ cm}^2/\text{m}^2}$$ $$\text{Eneo halisi katika m}^2 = 1,540,000 \text{ m}^2$$

Tunajua kuwa $1 \text{ hekta} = 10,000 \text{ m}^2$.

$$\text{Eneo halisi katika hekta} = \frac{1,540,000 \text{ m}^2}{10,000 \text{ m}^2/\text{hekta}}$$ $$\text{Eneo halisi katika hekta} = 154 \text{ hekta}$$

Ukubwa wa hifadhi ya maji ni $\text{154 hekta}$.