4 years ago

If you know the answer you have a high IQ ->

Mathematics

1 answer:

sertanlavr [38]4 years ago

4 0

9514 1404 393

Answer:

small squares: 8 cm square
large painting: 96 cm square

Step-by-step explanation:

The size of the small squares will be the greatest common divisor (GCD) of the dimensions 24 cm and 32 cm. We know these dimensions can be factored as ...

24 = 3×8

32 = 4×8

so the GCD is 8 cm.

The rectangles can be covered with squares that are 8 cm on a side.

The dimensions of the painting will be the least common multiple of the rectangle dimensions. That is ...

LCM(24, 32) = 24×32/GCD(24, 32) = 24×32/8 = 96

The smallest square painting that can be made from these rectangles is 96 cm square.

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