How many

How many different rectangles with integer page lengths have an area S = 60 cm²?

Correct answer:

n =  6

Step-by-step explanation:

$$\begin{gathered} S=ab=60 \\ a>b \\ 60=2\times 2\times 3\times 5=2^2\times 3\times 5 \\ {a}_1=10,b_1=6 \\ {a}_2=12,b_2=5 \\ {a}_3=15,b_3=4 \\ {a}_4=20,b_4=3 \\ {a}_5=30,b_5=2 \\ {a}_6=60,b_6=1 \\ n=6=6 \end{gathered}$$

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