To find the area, of a rectangle, you multiply length by width. Therefore, any factor pairs of 84 would be possible measurements for the length and width of the sandbox.
length=1ft, width=84ft (1x84=84)
length=2ft; width=42ft (2x42=84)
length=3ft; width=28ft (3x28=84)
length=4ft; width=21ft (4x21=84)
length=6ft; width=14ft (6x14=84)
length=7ft; width=12ft (7x12=84)
And switching the numbers around gives you more possibilities.
length=12ft; width=7ft
length=14ft; width=6ft
length=21ft; width=4ft
length=28ft; width=3ft
length=42ft; width=2ft
length=84ft; width=1ft
12 total possible whole number pairs for the length and width of the sandbox.
See how that works? Easy as pie, so long as you have the patience to find all the factors.
I hope this helps!
In this situation, the order matters, since being 1st pick is not the same as being 2nd or 3rd. Therefore, there are 14 choices for the first pick, 13 remaining for the second pick, and 12 for the third pick. This is equivalent to the permutation 12P3.
ways
(If order did not matter, this would use a combination.)
Answer:
measure of WZV angle is 50°