Deb is planning to paint a wall of her house that has two regular hexagonal windows. Painting the wall costs $1.75 per square foot. How much will she have to spend to paint the wall? Round the answer to the nearest dollar.
Answers
Answer: $357
Step-by-step explanation: Please see images below!
The amount she have to spend to paint the wall is $357.
How to calculate the surface area of a composite figure?Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.
When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.
Thus, we have:
[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]
That ∑ sign shows "sum"
We are given that;
The side of two hexagon is 2ft, painting measures 9*25ft.
Now,
In this case, s = 2 feet. Therefore, the area of one hexagonal window is:
Area = (3√3 × 2²)/2 Area = (12√3)/2 Area ≈ 10.39 square feet
Since there are two windows, we need to multiply this by 2 and subtract it from the total area of the wall:
225 - (2 × 10.39) ≈ 204.22 square feet
This is the area that needs to be painted. To find how much Deb will have to spend, we multiply this by $1.75 per square foot:
204.22 × $1.75 ≈ $357.39
Rounding this to the nearest dollar, we get:
$357
Therefore, by the area of painting the answer will be $357.
Learn more about area of a composite figure here:
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Answers
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Total
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18
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Answers
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Step-by-step explanation:
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Step-by-step explanation:
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