Answer:
(a) The largest square side is 24 inches
(b) No. of pieces are 14
Step-by-step explanation:
As per the question:
The dimensions of the fabric are 
(a)To calculate the side length of the largest square piece, we need to find the Greatest Common Factor (GCF) of the dimensions as:


Therefore,
The GCF of the dimensions = 
Therefore, the largest side of a square that can be cut from the fabric is 24 inches.
(b) The no. of pieces of 24 inches that can be cut from the fabric can be given as:
No. of pieces = 
No. of pieces =
= 14
52s + 30b because 52 x s + 30 x b = 52s + 30b
You just have to take your multiplication table and then you can find what multiplication make 24
6x4=24
2x12=24
3x8=24
So 2 3 4 6 8 12 are all the multiples of 24