Divide

Divide area of rectangles with dimensions 32m and 10m by the ratio 7: 9. What area corresponds to a smaller section?

Correct answer:

S₁ =  140 m²
S₂ =  180 m²

Step-by-step explanation:

$$\begin{gathered} a=32\text{ m } \\ b=10\text{ m } \\ S=a\cdot b=32\cdot 10=320{\text{m}}^2 \\ {S}_1=S\cdot {\displaystyle \frac{7}{7+9}}=320\cdot {\displaystyle \frac{7}{7+9}}=140{\text{m}}^2 \end{gathered}$$

$S_2=S\cdot {\displaystyle \frac{9}{7+9}}=320\cdot {\displaystyle \frac{9}{7+9}}=180{\text{m}}^2$

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