Rectangle - sides 4

The perimeter of the rectangle is 72 cm. Calculate the length of the sides that are in the ratio of 3:5.

Correct answer:

a =  13.5 cm
b =  22.5 cm

Step-by-step explanation:


2(a+b)=72
5a = 3b

2·(a+b)=72
5·a = 3·b

2a+2b = 72
5a-3b = 0

Pivot: Row 1 ↔ Row 2
5a-3b = 0
2a+2b = 72

Row 2 - 2/5 · Row 1 → Row 2
5a-3b = 0
3.2b = 72


b = 72/3.2 = 22.5
a = 0+3b/5 = 0+3 · 22.5/5 = 13.5

a = 27/2 = 13.5
b = 45/2 = 22.5

Our linear equations calculator calculates it.



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