Answer:
The actual answer is A. 2x^2 + 3x + 1 = 28; x = 3
Step-by-step explanation:
First, we get the information:
L=2x+1 W=x+1 A=28
We then get the area formula.
L * W = A
So after that, we plug the equations above into the formula, and we get this.
(2x+1) * (x+1) = 28
Solve for it.
2x+1
* x+1
2x+1
2x^2 +x
2x^2+3x+1
2x^2+3x+1=28 <--- solve now! : )
2
x^
2
+
3
x
+
1
−
2
8
=
0
2
x
^2
+
3
x
−
2
7
=
0
2
x
^2
+
9
x
−
6
x
−
2
7
=
0 (For here, you have to add another thing)
(
2
x
^2
+
9
x
)
+
(
−
6
x
−
2
7
)
=
0 (now do common factor, which is group them)
x(
2
x
+
9
)
−
3
(
2
x
+
9
)
=
0
(2x+9)(x-3)=0 now, you have to separate the equation into two.
x-3=0 2x+9=0
x=3 x=-9/2
So, one of them is 3, just as choice A.
