The area of the rectangle is 312 in²
Given a rectangle ; Let the :
Width = x inches
Length = 2x - 2 inches
Perimeter of rectangle = 74 inches
The perimeter of a rectangle is given as :
2(length + width)
Therefore,
2(x + (2x - 2)) = 74
2(x + 2x - 2) = 74
2(3x - 2) = 74
6x - 4 = 74
6x = 74 + 4
6x = 78
x = 13 inches
Hence,
Width = 13 inches
Length = 2(13) - 2 = 26 - 2 = 24 inches
Area of rectangle = Length × width
Area = 13 × 24 = 312 in²
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