If the letters are considered distinct, then the number of permutations is
.
If we count either C as the same character, then we would be double-counting - to correct this, we would simply divided by the number of ways we can choose C from the available characters, or
.
The length of side of garden are 76 feet and 49 feet
<em><u>Solution:</u></em>
Given that, Elias has decided to fence in a garden that is in the shape of a parallelogram
Measure of one side = 76 feet
250 ft of fencing is needed to enclose the garden
Therefore, perimeter = 250
<em><u>The perimeter of parallelogram is given by:</u></em>
Perimeter = 2(a + b)
Where, a and b are the length of sides
Here, a = 76
b = ?
<em><u>Substituting in formula, we get</u></em>
250 = 2(76 + b)
250 = 152 + b
2b = 250 - 152
2b = 98
b = 49
Thus the length of side of garden is 49 feet
Answer: Your answers ×=5 !
Let
x--------> the border’s length
y--------> the border’s width
P--------> perimeter of the border
we know that
x=5+y------> equation 1
P=2*[x+y]-----> P=2x+2y
P <=180 ft
(2x+2y) <= 180-------> equation 2
substitute the equation 1 in equation 2
2*[5+y]+2y <= 180
10+2y+2y <= 180
4y <= 180-10
4y <=170
y <=42.5 ft
so
the maximum value of the width is 42.5 ft
for y=42.5 ft
x=42.5+5------> x=47.5 ft
the answer is
the width of the border is less than or equal to 42.5 ft
