Czech flag

Calculate the areas of the colored parts on Czech flag in the shape of a rectangle with dimensions of 2m and 1m. White and red form half the width, the blue triangle is isosceles, and its apex is half the length.

Correct answer:

S₁ =  0.75 m²
S₂ =  0.75 m²
S₃ =  0.5 m²

Step-by-step explanation:

$$\begin{gathered} a=2\text{m} \\ b=1\text{m} \\ c=a/2=2/2=1\text{m} \\ d=b/2=1/2=\frac{1}{2}=0.5\text{m} \\ S=a\cdot b=2\cdot 1=2{\text{m}}^2 \\ {S}_1=(a+c)\cdot \frac{d}{2}=(2+1)\cdot \frac{0.5}{2}=0.75{\text{m}}^2 \end{gathered}$$

$S_2=S_1=0.75=0.75{\text{m}}^2$

$S_3=S-S_1-S_2=2-0.75-0.75=0.5{\text{m}}^2$

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