Perpendicular parking

Which parking lot for 5 cars occupies a larger area, perpendicular or inclined at an angle of 45°, and how much? The car has dimensions of 4m and 2m.

Correct answer:

S₁ =  8 m²
S₂ =  12 m²
p =  50 %

Step-by-step explanation:

$$\begin{gathered} a=4\text{m} \\ b=2\text{m} \\ {S}_1=a\cdot b=4\cdot 2=8{\text{m}}^2 \end{gathered}$$

$$\begin{gathered} \alpha =45{}^{\circ } \\ {S}_2=(a+b)\cdot b=(4+2)\cdot 2=12=12{\text{m}}^2 \\ {S}_2>S_1 \end{gathered}$$

$p=100\cdot \frac{S_2-S_1}{S_1}=100\cdot \frac{12-8}{8}=50\%$

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