PLEASE HELP
2 answers:
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The dimensions for this rectangle are b= 30 ft and h=20 ft.
<h3>Perimeter</h3>The perimeter of a geometric figure is the sum of its sides.
The question gives:
- the geometric figure - rectangle
- the total perimeter - 120 ft
Therefore for the perimeter, you have
P= + h+ h +h
P=2b+3h
2b+3h=120 (1)
From equation 1, you can write:
2b=120-3h
b=
b= 60 - (2)
The area for the rectangle is given by A= bh. Therefore, by replacing (2) in the formula for rectangle area, you have:
The maximum area will be calculated from the derivation of the previous equation of area.
The maximum area can be found when the first derivative is equal to zero. Thus,
60-3h=0
-3h=-60 *(-1)
3h=60
h=20
Now, you know the height and from equation 2 (b= 60 - ) you can find the base.
b= 60 -
b=60 - 3*10
b=60-30
b=30
Read more about the First Derivative Test here:
#SPJ1
1)
The distance between points A and B is;
,
and if you wanted to you could measure out the legs of that hypotenuse using the slope between A and B, but I'm going to show you the easier way;
Δx = 4
Δy = -20
So from the midpoint, add 4 to the x-value and subract 20 from the y-value.
{(5+4),(-8-20)}
(9,-28) is the endpoint.
2)
Do the same thing as I did above;
So
is the distance.
Sorry for the delay, life delayed me a ton ,:D
The distance between points A and B is;
and if you wanted to you could measure out the legs of that hypotenuse using the slope between A and B, but I'm going to show you the easier way;
Δx = 4
Δy = -20
So from the midpoint, add 4 to the x-value and subract 20 from the y-value.
{(5+4),(-8-20)}
(9,-28) is the endpoint.
2)
Do the same thing as I did above;
So
Sorry for the delay, life delayed me a ton ,:D