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3 years ago

25 POINTS AND BRAINLIEST 6. Consider the following figure.

Mathematics

2 answers:

avanturin [10]3 years ago

7 0

Answer:

Perimeter: 95+15*sqrt(3)=120.98

Area: ([45*sqrt(5)]/2) + 600=605.3

Nimfa-mama [501]3 years ago

3 0

Answer: The perimeter is 95 + 15 sqrt 3, and the area is 600 + 35 sqrt 3 / 2

Step-by-step explanation:

We can draw an imaginary line to form a 30 60 90 triangle. The ratio of side lengths in this special triangle is 1 sqrt 3 2. We are given that the side length opposite to 60 degrees is 15. 15 divided by sqrt 3 is equal to 5 sqrt 3. Now, to find the diagonal we can do 5 sqrt 3 * 2 = 10 sqrt 3. So now, we can find the perimeter. The perimeter is equal to 15 + 40 + 40 + 5 sqrt 3 + 10 sqrt 3 = 95 + 15 sqrt 3. Now, we can find the area. The area can be split into the rectangle's area and the triangle's area. The rectangle's area is 15 * 40 = 600. The triangle's area is 15 * 5 sqrt 3 / 2 = 35 sqrt 3 / 2. The total area is 600 + 35 sqrt 3 / 2.

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3 years ago

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Anna [14]

Answer:

Step-by-step explanation:

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