Answer:
x = 6
Step-by-step explanation:
Perimeter of the rectangle = 34 ft
Length of the rectangle = 3(x-2) ft
Width of the rectangle = 4x-7+(-2x) ft
= 4x - 7 - 2x
= 2x - 7 ft
Perimeter of a rectangle = 2(length + width)
34 = 2{3(x-2) + 2x - 7 }
34 = 2{3x - 6 + (2x - 7)}
34 = 2(3x - 6 + 2x - 7)
34 = 2(5x - 13)
34 = 10x - 26
34 + 26 = 10x
60 = 10x
x = 60/10
x = 6
Length of the rectangle = 3(x-2) ft
= 3(6 - 2)
= 3(4)
= 12 ft
Width of the rectangle = 2x - 7 ft
= 2(6) - 7
= 12 - 7
= 5 ft
