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1 answer:
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The cost of painting the rectangular board with a semicircular top is $31.065 to the nearest hundredth.
<h3>How to find the area of the composite figures?</h3>To find area of the composite figures,
- Separate the figure.
- Calculate the are of the each figure by which the composite figure is made of.
- Add the area of all the individual figures to get the total area of composite figures.
The dimentions of the rectangle is 3 by 4 foot. The area of the rectangle is,
The radius of the semicircle is 1.5 m. The area of the semicircle is,
The area of the composite figure is,
The rate of painting is $2.00 per square foot. Thus the cost to paint the figure is,
Hence, the cost of painting the rectangular board with a semicircular top is $31.065 to the nearest hundredth.
Learn more about the area of composite figures here;
Answer with step-by-step explanation:
The way the question is worded, this actually shouldn't be correct. The correct answer should be .
Because the trapezoids are similar, we can find the ratio of their perimeters by actually just finding the ratio of their sides.
Why?
By definition, the corresponding sides of a polygon are in a constant proportion. The perimeter is simply the sum of all sides of the polygon. Since we're just adding the sides, the proportion will still be maintained.
Therefore, we'll just need to ratio of their corresponding sides. The only two corresponding sides that are marked are and
.
The ratio of is
.
The reason why it ideally should be and not
is because the question states
, which mentions
first, so our answer should follow this respective order. I believe you were marked right anyways because the specific order is not specified, but generally, you want to give your answer respectively by default.