Answer:
Explained Below
Step-by-step explanation:
You'll want to start off by knowing the formulas for the area and perimeter of triangles:
Area Formula - A= 1/2 bh (1/2 x base x height)
Perimeter Formula - P = a + b + c (sides added together)
So, we will plug in the numbers.
Triangle 1: A = 1/2 bh So, A = 1/2 8 x 10, which means half of 8 or 10 multiplied by the number that you did not half. (For instance: If you half 8, that means you multiply 4 and 10.) Now, you should have A = 40 either way (4 x 10 = 40 and 8 x 5 = 40).
P = a + b + c. So, you will add 8, 6, and 10. This is 14.
Triangle 2: A = 1/2 bh. But, this triangle requires you to cut in half. Doing this, that cuts your base as well. It will no longer be 30, by 15. For the left side of triangle 2, it will be A = 1/2 15 x 12, which you half either 15 or 12, where 12 is easier. Now it should be A = 15 x 6, which is 90. The right side of the triangle will be A = 1/2 15 (12) as well, which is also 90. In the end, you will add it together, which is 180.
P = a + b + c. So, you will add 15, 23, and 12 first. Then, add 15, 20, and 12. You should have 50 and 47, which you will add that together as well.
Triangle 3: I will keep working on this one, as I am a little unsure :/
Triangle 4: You will do the same steps for this triangle like you did on #2. Though the numbers you plug on are different. A = 1/2 bh - A = 1/2 10 x 14. (This is for the left side) You will have to half either the base or the height's number. So, it will be A= 5 x 14 or A=10 x 7. Then, you will multiply and find your answer (70). (This is for the right side) A = 1/2 10 x 14. Due to the numbers being the same, it can be shown that the area will also be 70. You then add 70 and 70 together.
P = a + b + c. You will add 10, 14, and 15 for the left side and 10, 14, and 17 for the right side. Once you add them separately, add the answers together (10+14+15 =39 and 10+14+17 = 41. 39 + 41 = 80.
Triangle 5: A=1/2 bh. A = 1/2 12 x 16. You will half either 12 or 16 (It does not matter). Then you should have A = 6 x 16 or A = 12 x 8. Either way, your answer is 96.
P = a + b + c. You will add 12, 16, and 18. This results in 46.
<em>Hope this helps! I will continue to figure out Triangle 3</em>
<h2>Answer - D. $1,220</h2>
