# 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:

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

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

Number of solutions found: 6

Calculated by our Diofant problems and integer equations.

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