Which is the best approximation for the area of the smaller triangle?

[terrifyingterra]

1. Both triangles are similar. The area of the larger triangle is about 382 ft2. Which is the best approximation for the area of the smaller triangle?



2. Find the area of the triangle that has a base of 4.2 mm and a height of 1.5 mm.

3. Find the area of the equilateral triangle whose sides are 4 yd.


4. Find the perimeter of the region that is NOT shaded.



5. Find the perimeter of the shaded region.



6. Find the area of the kite.



7. What is the area of the kite?



8. The dimensions of a smaller rectangle are 3 ft by 9 ft. The dimensions of a larger rectangle are 5 ft by 15 ft. Find the ratio of the area of the smaller rectangle to the area of the larger rectangle.

9. Find the area of the equilateral triangle.



10. Find the area of the rhombus.



11. Find the area of the rhombus.



12. Find the area of a rhombus with diagonals 2.7 mm and 3.2 mm.

13. Find the area of the figure.



14. Find the area of the figure.



15. Find the area of a square with a diagonal of 8 cm.

16. Find the area of a regular octagon whose side length is 4.7 in. and the apothem is 6.5 in.

17. Find the area of the parallelogram.

 

[stapel]

1. Both triangles are similar. The area of the larger triangle is about 382 ft2. Which is the best approximation for the area of the smaller triangle?

View attachment 4817

What formula do you have for relating linear dimensions and areas of similar figures? How far have you gotten in applying this information?

2. Find the area of the triangle that has a base of 4.2 mm and a height of 1.5 mm.

You have a formula for the the area in terms of the base and the height. Where are you stuck in plugging the numbers into the formula?

3. Find the area of the equilateral triangle whose sides are 4 yd.

Do you have a formula for this? If not, how far have you gotten in using the Pythagorean Theorem to find the height of this triangle?

4. Find the perimeter of the region that is NOT shaded.

View attachment 4818

Where are you stuck in adding the numbers?

5. Find the perimeter of the shaded region.

View attachment 4818

Where are you stuck in adding the numbers?

6. Find the area of the kite.

View attachment 4819

7. What is the area of the kite?

View attachment 4823

What formulas have they given you for this?

8. The dimensions of a smaller rectangle are 3 ft by 9 ft. The dimensions of a larger rectangle are 5 ft by 15 ft. Find the ratio of the area of the smaller rectangle to the area of the larger rectangle.

What are their areas? (Plug the given numbers into the formula they gave you.) What then is the ratio? (Plug the numbers you just found into the indicated ratio.)

9. Find the area of the equilateral triangle.

View attachment 4820

Are you given additional information for this triangle? For instance, is that point supposed to be assumed to be in the exact center?

10. Find the area of the rhombus.

View attachment 4821

11. Find the area of the rhombus.

View attachment 4822

What formulas have they given you for this? How far have you gotten in using them?

12. Find the area of a rhombus with diagonals 2.7 mm and 3.2 mm.

What formula did they give you for this? How far have you gotten in applying this?

13. Find the area of the figure.

View attachment 4824

What is the area of the rectangle, given the displayed length and height? What is the height of the triangle? (Hint: Subtract.) What then is the area of the triangle, given the height you just found and the base they gave you? What then is the sum of those areas?

14. Find the area of the figure.

View attachment 4825

Draw a vertical line to convert this picture into one similar to the previous one. Then apply the same processes.

15. Find the area of a square with a diagonal of 8 cm.

What formulas have they given you for this? If none, then how far have you gotten in finding the length of a side, given the Pythagorean Theorem and the provided hypotenuse length?

16. Find the area of a regular octagon whose side length is 4.7 in. and the apothem is 6.5 in.

What formula did they give you for this? How far have you gotten in applying it?

17. Find the area of the parallelogram.

View attachment 4826

What formula did they give you for this? How far have you gotten in applying it?

Please be complete. Thank you!

 

[lookagain]

Which is the best approximation for the area of the smaller triangle?

terrifyingterra,

do not make any more posts anywhere in the forum where you submit
problems until you start showing your attempts with them. Also, you should
not be giving a list of problems.

Refer to this link for more posting guidelines:

http://www.freemathhelp.com/forum/threads/41537-Read-Before-Posting!!

 

[stapel]

Also, you should not be giving a list of problems.

To be fair, the original poster ("OP") had posted the exercises as twenty-some separate posts, taking up the entire board display. To allow other posters' questions to be visible, I'd compiled some of the questions into this one thread. Sorry.