Answer: Third Choice. 112 = 2 (2x - 7) + 2 (4x + 3)
Concept:
Here, we need to know how to find the perimeter of a rectangle.
Perimeter (rectangle) = 2l + 2w
l = length
w = width
Solve:
Given information
l = 2x - 7
w = 4x + 3
Perimeter = 112 cm
Given expression
Perimeter = 2l + 2w
Substitute values into the expression
[tex]\boxed{112 = 2 (2x - 7) + 2 (4x + 3)}[/tex]
Expand parentheses
112 = 4x - 14 + 8x + 6
Combine like terms
112 = (4x + 8x) + (6 - 14)
112 = 12x - 8
Add 8 on both sides
112 + 8 - 12x - 8 + 8
120 = 12x
Divide 12 on both sides
120 / 12 = 12x / 12
[tex]\boxed{x=10}[/tex]
Hope this helps!! :)
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