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30 January, 14:48

A rectangle has a height of 4w^3 and a width of 5w^2-3w-4.

Express the area of the entire rectangle.

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Answers (2)
  1. 30 January, 15:09
    0
    Step-by-step explanation:

    Area of the entire rectangle = height * width

    = 4w³ * (5w²-3w-4)

    = 4w³ * 5w² - 4w³ * 3w - 4w³ * 4

    =20w⁵ - 12w⁴ - 16w³
  2. 30 January, 16:45
    0
    20w^5 - 12w^4 - 16w^3

    Step-by-step explanation:

    Area of rectangle = length * breadth (or height in this case) of the rectangle

    Basically, you multiply both sides of the rectangle

    So, area of rectangle = 4w^3 (5w^2 - 3w - 4)

    Expand.

    Area of rectangle = 4w^3 (5w^2) - 4w^3 (3w) - 4w^3 (4)

    Then you open the brackets which will give you the answer 20w^5 - 12w^4 - 16w^3

    Note that the numbers are all multiplied and for the powers of w, the powers are added when multiplied.

    For example, y (y^2) = y^3
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