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23 December, 23:57

The perimeter of a rectangular field is 200 feet. The length of the field is 7 feet more than two times the width of the field.

Part A Write a system of two equations that could be used to find the length and width of the field. Let x represent the length of the field, and let y represent the width of the field.

Part B Solve the system of equations for x and y to determine the dimensions of the field.

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  1. 24 December, 02:55
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    X = 2y + 7 ... (1)

    2x + 2y = 200 ... (2)

    Substituting the expression for x in equation (1) into equation (2) gives

    2 (2y + 7) + 2y = 200 ... (3)

    Equation (3) simplifies to

    6y = 186

    Therefore y = 31 feet.

    Substituting the value for y into (1) gives

    x = 69 feet.
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