Answer:
Lyla needs 640 seed packets.
Step-by-step explanation:
16 x 40 = 640
First, you have to think of any perfect squares that multiply to 112. The only ones I can think of are 16 and 7. So now you have the square root of 16 * 7. Now you can reduce the 16 because the square root of 16 is 4. So the answer is 4 times the square root of 7.
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
Solution,
As we have,
⇒2SinACosB=Sin(A+B)+Sin(A-B)
Now,
<em>Hence, LHS=RHS</em>
