Rectangle

Find the dimensions of the rectangle, whose perimeter is 108 cm and the length is 25% larger than the width.

Correct answer:

a =  30
b =  24

Step-by-step explanation:


a = b + 25/100 b
2(a+b) = 108

a = b + 25/100·b
2·(a+b) = 108

100a-125b = 0
2a+2b = 108

Row 2 - 2/100 · Row 1 → Row 2
100a-125b = 0
4.5b = 108


b = 108/4.5 = 24
a = 0+125b/100 = 0+125 · 24/100 = 30

a = 30
b = 24

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