Mr. Filip

Mr. Filip is preparing to reconstruct a garden. He will divide its area into herb, vegetable, and ornamental parts in the ratio 2 : 3 : 5 (in this order). The area of ​​the herb part will be 4m x 2.5 m.
a) Calculate in m² the total area of ​​the reconstructed garden.
b) Determine what percentage of the total area of ​​the garden will be the vegetable part.

Correct answer:

S =  50 m²
p =  30 %

Step-by-step explanation:

$$\begin{gathered} S_1:S_2:S_3=2:3:5=2x:3x:5x \\ {S}_1=4\cdot 2.5=10{\text{m}}^2 \\ {S}_1=2x \\ x=S_1/2=10/2=5{\text{m}}^2 \\ S=(2+3+5)\cdot x=(2+3+5)\cdot 5=50{\text{m}}^2 \end{gathered}$$

$p=100\cdot \frac{3}{2+3+5}=30\%$

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