Answer:
Side AD=24
Explanation:
The proper formula for finding the perimeter is P=2L+2W
Plug in the proper numbers for the equation:
2(4x-3) + 2(3x) =106
Use the distributive property:
2(4x) = 8x
2(-3) = -6
2(3x) = 6x
8x-6+6x=106
Combine Like terms:
8x+6x-6=106
8x + 6x = 14x
14x-6=106
Use property of addition to get "X" alone on one side of the equation:
14x - 6 = 106
14x - 6 + 6 = 106 + 6
14x = 112
Divide 14 on both sides of the equation to find the value of X:
14x = 112
14x = 112
14 14
X=8
The equation would look like this:
2(4x -3) + 2(3x) = 106
8x-6 + 6x=106
14x-6=106
14x = 112
x = 8
Next, plug in 8 for X in the equation to find out the value of each side:
4 X 8 - 3 = 29 (CB)
3 X 8 = 24 (AD)
Check your answer:
P = 2L X 2W
24 (AD) x 2 = 48
29 (CB) X 2 = 58
58 + 48 = 106