A = 4,
we denote one side of the rectangle with
a
, and the other with
b
we can write, that:
a
⋅
b
=
16
so we can write, that
b
=
16
a
Now we can write perimeter
P
as a function of
a
P
=
2
⋅
(
a
+
16
a
)
We are looking for the smallest perimeter, so we have to calculate derivative:
P
(
a
)
=
2
a
+
32
a
P
'
(
a
)
=
2
+
(
−
32
a
2
)
P
'
(
a
)
=
2
−
32
a
2
=
2
a
2
−
32
a
2
The extreme values can only be found in points where
P
'
(
a
)
=
0
P
'
(
a
)
=
0
⇔
2
a
2
−
32
=
0
2
a
2
−
32
=
0
x
a
2
−
16
=
0
×
x
.
.
a
2
=
16
×
×
x
a
=
−
4
or
a
=
4
Since, length is a scalar quantity, therefore, it cannot be negative,
When
a
=
4
,
b
=
16
4
b
=
4
Answer:
Step-by-step explanation:
To begin factoring the expression 
, we use the GCF or greatest common factor. The greatest common factor is the greatest number that will divide into two or more values. We start to find it by factoring each term:
Remember -10 can factor into smaller numbers but since it doesn't have common factors with the others, we've chosen to leave it as -10.
We notice the only common factors bare p*p or 
.
We write in the form p^2(____+_____+_____). We find the inside of the parenthesis by dividing each term by p^2.
.
We are not finished yet. We have a trinomial (3 terms) which also factors. We factor by splitting the middle term 3p into factors of -10 which add to 3.
--10 = 5 * -2
3p= 5p +-2p
We write .
She walks 3 mph because when you divide it by 2 it will equal
3 miles in 1 hour
I got this on the calculator.
I think -23/4 hope it helps
