# Divide

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

Result

S1 =  140 m2
S2 =  180 m2

#### Solution:

$a=32 \ \text{m} \ \\ b=10 \ \text{m} \ \\ S=a \cdot \ b=32 \cdot \ 10=320 \ \text{m}^2 \ \\ \ \\ S_{1}=S \cdot \ \dfrac{ 7 }{ 7+9 }=320 \cdot \ \dfrac{ 7 }{ 7+9 }=140 \ \text{m}^2$
$S_{2}=S \cdot \ \dfrac{ 9 }{ 7+9 }=320 \cdot \ \dfrac{ 9 }{ 7+9 }=180 \ \text{m}^2$

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