Rectangular 4567

The rectangular flower garden fencing is 57.6 m long. Find its dimensions if you know they are in a 5:7 ratio.

Correct answer:

a =  12
b =  16.8

Step-by-step explanation:


2(a+b)=57.6
7a = 5b

2·(a+b)=57.6
7·a = 5·b

2a+2b = 57.6
7a-5b = 0

Pivot: Row 1 ↔ Row 2
7a-5b = 0
2a+2b = 57.6

Row 2 - 2/7 · Row 1 → Row 2
7a-5b = 0
3.43b = 57.6


b = 57.6/3.42857143 = 16.8
a = 0+5b/7 = 0+5 · 16.8/7 = 12

a = 12
b = 84/5 = 16.8

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