Rectangle perimeter

The width of the rectangle is 65% of the length. Calculate the lengths of the sides of a rectangle if its perimeter is 132dm.

Final Answer:

a =  40
b =  26

Step-by-step explanation:


2(a+b)=132
b = 65/100 a

2·(a+b)=132
b = 65/100·a

2a+2b = 132
65a-100b = 0

Pivot: Row 1 ↔ Row 2
65a-100b = 0
2a+2b = 132

Row 2 - 2/65 · Row 1 → Row 2
65a-100b = 0
5.08b = 132


b = 132/5.07692308 = 26
a = 0+100b/65 = 0+100 · 26/65 = 40

a = 40
b = 26

Our linear equations calculator calculates it.



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