Tile rectangle assembly

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

Final 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.



Help us improve the example. If you find a mistake, let us know. Thank you!







Tips for related online calculators
Do you solve Diofant problems and are looking for a calculator of Diofant integer equations?
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: