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a rectangle has horizontal sides of 3 (x-2)ft and vertical sides of 4x-7+(-2x) ft finde the value of x so that the rectangle has a perimeter of 34 ft

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adioabiola

Based on the given horizontal and vertical sides of a rectangle and its perimeter, the value of x in the expression is 6

Perimeter of rectangle

Perimeter of rectangle = 2(length + width)

  • Perimeter of the rectangle = 34 ft

  • Length of the rectangle = 3(x - 2) ft

= 3x - 6

  • Width of the rectangle = 4x - 7 + (-2x)

= 4x - 7 - 2x

= 2x - 7

Perimeter of rectangle = 2(length + width)

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

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