# Table

The circumference of the rectangle table is 420 cm. Length to width ratio is 5:2 . Calculate table dimensions and dimensions reduced in the ratio 3:5

Result

a =  150 cm
b =  60 cm
c =  90 cm
d =  36 cm

#### Solution:

2(a+b)=420
2a=5b

2a+2b = 420
2a-5b = 0

a = 150
b = 60

Calculated by our linear equations calculator.
$k=3/5=\dfrac{ 3 }{ 5 }=0.6 \ \\ c=k \cdot \ a=0.6 \cdot \ 150=90 \ \text{cm}$
$d=k \cdot \ b=0.6 \cdot \ 60=36 \ \text{cm}$

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