Look at the photo! Please help
1 answer:
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Answer:
The area of the composite area is 400 square millimeters.
Step-by-step explanation:
The area of the composite figure (), in square millimeters, is found by multiplying the area of the equivalent rectangle, in which a semicircle of the original rectangle is move to the opposite side of the figure, so that quantity of area is conserved:
(1)
Where:
- Width, in millimeters.
- Height, in millimeters.
If we know that , the area of the composite figure is:
The area of the composite area is 400 square millimeters.
So because it's an equilateral triangle, you can cut the triangle in half and make a right triangle with a hypotenuse of 32. The bottom of the triangle would be half of 32, which is 16, because you cut the triangle in half. Now you can use the pythagorean theorem to solve for the height.
The answer is whatever b is:
b =
So your answer is 27.713.
The answer is whatever b is:
b =
So your answer is 27.713.