# What are the two pairs of factors whose product is the integer of 899?

1 and 899

and

29 and 31

1 and 899

and

29 and 31

1 and 899

and

29 and 31

1 and 899

and

29 and 31

1 and 899

and

29 and 31

### Two rectangles have the same area 480m2 The difference in their lengths is 10m The difference in their widths is 4m Determine the lengths?

I would list all the factors of 480 (as pairs of numbers whose product is 480). Then find two pairs of numbers (L1,W1 and L2,W2) satisfying these properties. (It won't take long, since there are at most sqrt(480) (rounded down) pairs of numbers whose product is 480, ie. just try the numbers 1,2,3,...,21.) Hope that helps!

### How can you two perfect squares for a given integer?

The proposition in the question is simply not true so there can be no answer! For example, if given the integer 6: there are no two perfect squares whose sum is 6, there are no two perfect squares whose difference is 6, there are no two perfect squares whose product is 6, there are no two perfect squares whose quotient is 6.