Two rectangles

I cut out two rectangles with 54 cm², 90 cm². Their sides are expressed in whole centimeters. If I put these rectangles together I get a rectangle with an area of 144 cm2. What dimensions can this large rectangle have? Write all options. Explain your calculation.

Result

n =  6

Solution:

Solution in text n =
Solution in text n =  :  Nr. 1

The equations have the following integer solutions:
54=ab
90=bc

a=3, b=18, c=5
a=6, b=9, c=10
a=9, b=6, c=15
a=18, b=3, c=30
a=27, b=2, c=45
a=54, b=1, c=90

Number of solutions found: 6

Calculated by our Diofant problems and integer equations.







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