The formula for an area of a regular parallelogram is:
A = l * w
Where,
l = length
w = width
We are given that the total measurement of fence is only
60 feet and one side of the house is used as one side of the pen. Therefore,
l + 2 w = 60
<span>or simplifying to make an explicit expression for
one variable, say l:</span>
l = 60 – 2 w
<span>Substituting to the 1st equation:</span>
A = (60 – 2 w) * w
A = 60 w – 2 w^2
<span>The maxima are obtained by getting the 1st
derivative then equating dA/dw = 0:</span>
dA/dw
= 60 – 4 w
60 –
4 w = 0
4 w
= 60
w =
15
Since
l = 60 - 2w
l =
60 – 30
l =
30
<span>Therefore
the dimension that will make the largest pen is 15 ft by 30 ft.</span>
<span>ANSWER: C</span>
7-5 = 2
2+1 = 3
3x100 = 300
300 + 26 = 326
Answer:
x = 0.25
Step-by-step explanation:
If y varies inversely with x, then:
Given:
Substitute the given values into the found equation and solve for k:
Therefore:
To find the value of x when y = 3.2, substitute y = 3.2 into the found equation and solve for x:
Answer:
52
Step-by-step explanation:
231-23=208
208÷4=52
