Rectangles 22781

A bricklayer has 48 tiles. How many different rectangles will he assemble?

Correct answer:

n =  5

Step-by-step explanation:

ab=48 a1​=1, b1​=48 a2​=2, b2​=24 a3​=3, b3​=16 a4​=4, b4​=12 a5​=6, b5​=8  n=5

The equation has the following integer solutions:
ab=48

Number of solutions found: 14
a1=-8; b1=-6
a2=-6; b2=-8
a3=-4; b3=-12
a4=-3; b4=-16
a5=-2; b5=-24
a6=-1; b6=-48
a7=1; b7=48
a8=2; b8=24
a9=3; b9=16
a10=4; b10=12
a11=6; b11=8
a12=8; b12=6
a13=12; b13=4
a14=16; b14=3

Calculated by our Diofant problems and integer equations.

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