word problem help?

NetherCraft 0

A square picture is mounted on a larger rectangular sheet of poster paper leaving a border around the picture of 2 inches on the bottom and 1 inch on each of the remaining sides. The sheet of poster paper has an area of 42 square inches. If x represents the length of a side of the square picture, then write the equation that can be used to determine the value of x and solve it.

1 Answer

  • picture is x inches by x inches

    poster paper is x+3 inches high and x+2 inches wide

    area = (x+3)(x+2) = 42

    x²+5x-36 = 0

    x = 4 inches

    The picture is 4 inches by 4 inches.

    The paper is 7 inches high and 6 inches wide.

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