Rectangular 56801

We are to create a square in the shape of a rectangle with an area of ​​288 m2 (square) so that the sides are whole numbers. What are all the dimensions of the rectangular box we can make? How many is the solution?

Correct answer:

n =  9

Step-by-step explanation:

288 = 2 × 2 × 2 × 2 × 2 × 3 × 3 = 25 × 32 d:  1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288  S1=1 288=288 m2 S2=2 144=288 m2 S3=3 96=288 m2 S4=4 72=288 m2 S5=6 48=288 m2 S6=8 36=288 m2 S7=9 32=288 m2 S8=12 24=288 m2 S9=16 18=288 m2  n=9



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