<em>l = 16 feet</em>
<em>w = 3 feet</em>
- Step-by-step explanation:
<em>A = l×w</em>
<em>l = 10+2w</em>
<em>48 = (10 + 2w)w</em>
<em>48 = 10w + 2w² | : 2</em>
<em>24 = 5w + w²</em>
<em>w² + 5w - 24 = 0</em>
<em>w² + 8w - 3w - 24 = 0</em>
<em>w(w + 8) - 3(w + 8) = 0</em>
<em>(w - 3)(w + 8) = 0</em>
<em>w - 3 = 0 => w = 3 feet</em>
<em>w + 8 = 0 => w = - 8 ∉ N </em>
<em>l = 10 + 2w</em>
<em>l = 10 + 6</em>
<em>l = 16 feet</em>
<em />
<em>A = l×w = 16ft×3ft = 48ft² </em>
Subtract
6
6
from both sides of the equation.
x
2
−
7
x
=
−
6
x
2
-
7
x
=
-
6
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of
b
b
.
(
b
2
)
2
=
(
−
7
2
)
2
(
b
2
)
2
=
(
-
7
2
)
2
Add the term to each side of the equation.
x
2
−
7
x
+
(
−
7
2
)
2
=
−
6
+
(
−
7
2
)
2
x
2
-
7
x
+
(
-
7
2
)
2
=
-
6
+
(
-
7
2
)
2
Simplify the equation.
Tap for more steps...
x
2
−
7
x
+
49
4
=
25
4
x
2
-
7
x
+
49
4
=
25
4
Factor the perfect trinomial square into
(
x
−
7
2
)
2
(
x
-
7
2
)
2
.
(
x
−
7
2
)
2
=
25
4
(
x
-
7
2
)
2
=
25
4
Solve the equation for
x
x
.
Tap for more steps...
x
=
6
,
1
The answer is 48, because you do 24•2
11 hope this helps because if you calculate all it goes to 89 89 +11 = 100 100 = 1.00$
<span />
So you start in 0 and then cout back 3 times unyill you get to - 15 and that is how you use the number line for this problem
