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24 September, 12:34

Mr. Gonzalez built two identical flower beds in his yard with the dimensions shown. A prism has a length of 6 feet, height of 2 feet, and width of 5 feet. A prism has a length of 6 feet, height of 2 feet, and width of 5 feet. How much paint, in square feet, will Mr. Gonzalez need to paint the sides of both flower beds?

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  1. 24 September, 13:03
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    For the 2 the identical flower beds he will require 44 * 2 = 88 ft² of paints to paint the sides of the beds.

    Step-by-step explanation:

    The prisms are 2 identical flower beds. The dimensions are the same which have a length of 6 ft, height of 2 ft and width of 5 ft. He wants to paints the side of the beds which is the lateral area of the prisms.

    Lateral surface area of a rectangular prism is adding the area of the lateral faces of the prism.

    Lateral surface area = PH

    P = perimeter of the side

    H = height

    perimeter = (2L + 2W)

    where

    L = length

    W = width

    L = 6 ft

    W = 5 ft

    perimeter = (2L + 2W)

    perimeter = (2 * 6 + 2 * 5)

    perimeter = (12 + 10)

    perimeter = 22 ft

    Lateral area = 22 * 2

    Lateral area = 44 ft²

    For the 2 the identical flower beds he will require 44 * 2 = 88 ft² of paints to paint the sides of the beds.
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