
Nathan B. answered 11/04/15
Tutor
5
(20)
Elementary and Algebraic skilled
Here's what we know:
Pr = 2l + 2w
Pt = a + b + c
Pr = Pt
Therefore:
2l + 2w = a + b + c
l = x + 2
w = 6
a = 6
b = x + 4
c = 2x
Now we plug the values in for the variables:
2(x + 2) + 2 * 6 = 6 + x + 4 + 2x
Distribute then simplify:
2x + 4 + 12 = 6 + x + 4 + 2x
2x + 16 = 3x + 10
Now to isolate x. Start by subtracting 2x:
16 = x + 10
Subtract 10:
6 = x
Now to check:
Pr = 2 * 6 + 2 * (6 + 2)
Pr = 12 + 2 * 8
Pr = 12 + 16
Pr = 28
Pt = 6 + 6 + 4 + 2 * 6
Pt = 6 + 6 + 4 + 12
Pt = 12 + 12 + 4
Pt = 28