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5 January, 01:25

a rectangle has the height of 2 and a width of 5x^2-2x+3. express the area of the entire triangle. expression should be expanded

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  1. 5 January, 03:55
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    The question is not correctly written.

    Correct question:

    A rectangle has the height of 2 and a width of 5x²-2x+3. Express the area of the entire rectangle. The expression should be expanded.

    Answer:

    Expanded expression of the area of the rectangle = 10x² - 4x + 6 square units

    Step-by-step explanation:

    Formula to find the area of a rectangle is given as

    Area of a rectangle = Length * Width

    In the question we were given:

    Length (also known as height) = 2

    Width = 5x²-2x + 3

    We would use the distributive property of an algebraic equation to find the expression of the area of the rectangle.

    Distributive property = (a (b+c) = ab + ac)

    Area of the rectangle = 2 * (5x² - 2x + 3)

    = 2 * 5x² - 2 * 2x + 2*3

    = 10x² - 4x + 6 square units

    We were asked to expand the expression.

    The expansion of the expression of the Area of the rectangle

    = 10x² - 4x + 6 square units
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