i will bite - this is not a complete ans but an approximation:
there are 100*99*98 ways to pick 3 different no. out of 100
if 2 of the no. picked are >10, then there is no way the third no. can be larger than the products of the other 2 nos.
there are 90*89*98 ways to pick 2 nos between 10 and 100 and a third no. between 1 and 100.
So an approximate ans = 100*99*98 - 90*89*98 = 185220 but the actual ans will be smaller than this.
Answer: The length is 12 feet and the width is 4 feet.
Step-by-step explanation:
Let L represent the length of the bedroom closet.
Let W represent the width of the bedroom closet..
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The perimeter of the bedroom closet is 32 ft. This means that
2(L + W) = 32
Dividing through by 2, it becomes
L + W = 32/2
L + W = 16
The area of the bedroom closet is 48 ft². This means that
LW = 48 - - - - - - - -- - - - - - 1
Substituting L = 16 - W into equation 1, it becomes
W(16 - W) = 48
16W - W² = 48
W² - 16W + 48 = 0
W² - 12W - 4W + 48 = 0
W(W - 12) - 4(W - 12) = 0
W - 12 = 0 or W - 4 = 0
W = 12 or W = 4
L = 16 - 4 = 12
