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6 May, 06:59

Given the quadratic equation below, determine which situation it could represent.

2

x + 6x = 146

A. The front of a cereal box has an area of 146 square inches. The area that is colored is 6 times more than the area that is shaded. B. A garage door is 6 feet wider than it is tall. The area of one side of the garage door is 146 square feet. C. Matt has a dirt patch in his yard that has an area of 146 square feet. He covers 6 square feet of the dirt with sod. D. Lacey is constructing a model of a house from a blueprint. The area of the blueprint is 146 square inches. The area of the floor of the model is one-sixth of the area of the blueprint.

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  1. 6 May, 08:21
    0
    option B)

    Step-by-step explanation:

    Given the Quadratic equation

    x² + 6x = 146

    A)

    The front of a cereal box has an area of 146 square inches. The area that is coloured is 6 times more than the area that is shaded.

    x + 6x = 146

    B)

    A garage door is 6 feet wider than it is tall. The area of one side of the garage door is 146 square feet.

    suppose, length of door = x

    so, wight = 6 + x

    area = l x b

    146 = x * (x+6)

    146 = x² + 6x

    C)

    Matt has a dirt patch in his yard that has an area of 146 square feet. He covers 6 square feet of the dirt with sod.

    146 - 6 = 140 area of dirt patch left

    D)

    Lacey is constructing a model of a house from a blueprint. The area of the blueprint is 146 square inches. The area of the floor of the model is one-sixth of the area of the blueprint.

    Area of the floor of the model = 1/6 of the area of the blueprint

    = 1/6 x 146

    = 24.33 ft²
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