Three gardens

Is it possible to divide a plot of land with an area of 927 m² into three gardens in a ratio of 4:2:3 so that their areas are only whole multiples of square meters?

Correct answer:

a =  412 m²
b =  206 m²
c =  309 m²

Step-by-step explanation:

$$\begin{gathered} a:b:c=4:2:3 \\ S=927{\text{m}}^2 \\ k=\frac{S}{4+2+3}=\frac{927}{4+2+3}=103{\text{m}}^2 \\ a=4\cdot k=4\cdot 103=412{\text{m}}^2 \end{gathered}$$

$b=2\cdot k=2\cdot 103=206{\text{m}}^2$

$c=3\cdot k=3\cdot 103=309{\text{m}}^2$

Try another example