Question

How many unique rectangles can be formed by joining 231 identical squares? All 231 squares must be used and no square can overlap each other.
A. 3
B. 4
C. 237
D. 5​

Answer 1

Answer:

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Answer 2

Answer:

answer is 4 .

Step-by-step explanation:

Note that the key is that you have to use all 231 squares to form unique rectangles. Let's say the two sides of the rectangle are denoted as l and w.

In our case, it means that l × w = 231

So our problem reduces to finding unique l and w such that their product is 231.

i) First case : 231*1=231.

ii) Second case : 3*77=231.

iii) Third case : 11*21=231

vi) Forth case 7*33 = 231.

Hence we  found that there are 4 cases where we can make rectangles .