Ask Question
28 January, 15:52

In order to determine how much paint he needs to paint the front of his house, Joe is calculating the area he'll be painting (the shaded region). The door is 7 feet by 3 ft. The large window is 5 ft by 3 ft. Each small window is 2 ft by 3 ft. Show work

+2
Answers (1)
  1. 28 January, 18:54
    0
    I found a matching diagram to the question online:

    The area to be painted = 464.5 ft²

    Step-by-step explanation:

    Total area of the figure = area of the rectangle + area of the triangle.

    Area of rectangle = Length * Breadth

    Length = 25ft

    Breadth = 15ft

    Area of rectangle = 25 * 15 = 375 ft²

    Note that we will subtract the unshaded regions because he will be painting the shaded regions only.

    Area of door = 7 * 3 = 21 ft²

    Area of large window = 5 * 3 = 15 ft²

    Area to be painted on rectangle = total area - area of door - area of large window

    = 375 - 21 - 15 = 339 ft²

    Next let us solve for the triangle:

    Area of triangle = 1/2 base * height

    base = 25 ft

    height = 26 - 15 = 11 ft

    ∴ Area of triangle = 0.5 * 25 * 11 = 137.5 ft²

    Remember that we will subtract the area of the unshaded part.

    unshaded region = 2 small windows

    Areas of two small windows = 2 * (2 * 3) = 2 * 6 = 12 ft²

    Therefore area of shaded portion of triangle = 137.5 - 12 = 125.5 ft²

    Total area to be painted = shaded areas of (rectangle + triangle)

    = 339 + 125.5 = 464.5 ft²
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “In order to determine how much paint he needs to paint the front of his house, Joe is calculating the area he'll be painting (the shaded ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers