Rectangle

The perimeter of a rectangle is 48 cm. Calculate its dimensions if they are in the ratio 5:3 (width: height)

Correct answer:

a =  15 cm
b =  9 cm

Step-by-step explanation:


2(a+b)=48
3a = 5b

2·(a+b)=48
3·a = 5·b

2a+2b = 48
3a-5b = 0

Pivot: Row 1 ↔ Row 2
3a-5b = 0
2a+2b = 48

Row 2 - 2/3 · Row 1 → Row 2
3a-5b = 0
5.33b = 48


b = 48/5.33333333 = 9
a = 0+5b/3 = 0+5 · 9/3 = 15

a = 15
b = 9

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