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 (th
e 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
1 answer:
Answer:
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
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Answer
The answer and procedures of the exercise are attached in the following archives.
Step-by-step explanation:
You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.
