Square

Calculate the area of the square shape of the isosceles triangle with the arms 50 m and the base 60 m. How many tiles are used to pave the square if the area of one tile is 25 dm²?

Final Answer:

S =  1200 m²
n =  4800

Step-by-step explanation:

$$\begin{gathered} r=50\text{m} \\ z=60\text{m} \\ h=\sqrt{r^2-(z/2{)}^2}=\sqrt{50^2-(60/2{)}^2}=40\text{m} \\ S=\frac{z\cdot h}{2}=\frac{60\cdot 40}{2}=1200{\text{m}}^2 \end{gathered}$$

$$\begin{gathered} S_1=25{\text{dm}}^2\to {\text{m}}^2=25:100{\text{m}}^2=0.25{\text{m}}^2 \\ n=S/S_1=1200/0.25=4800 \end{gathered}$$

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