Rectangular 6397

Calculate the area of ​​Mr. Vejvoda's rectangular garden rounded to whole hectares if you know that garden fencing, including gates and doors, is 420 m long and its dimensions are in the ratio of 9:5

Correct answer:

a =  135
b =  75
S =  1 ha

Step-by-step explanation:


2(a+b) = 420
a = 9/5 · b

2·(a+b) = 420
a = 9/5 · b

2a+2b = 420
5a-9b = 0

Pivot: Row 1 ↔ Row 2
5a-9b = 0
2a+2b = 420

Row 2 - 2/5 · Row 1 → Row 2
5a-9b = 0
5.6b = 420


b = 420/5.6 = 75
a = 0+9b/5 = 0+9 · 75/5 = 135

a = 135
b = 75

Our linear equations calculator calculates it.
S1=a b=135 75=10125 m2 S=S1 ha=S1:10000  ha=10125:10000  ha=1 ha=1 ha



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