1. Kuoministers

first you would need to find the area of the rectangle. Then you would find the area of the triangle with the formula A = 1/2 B H. To find the height you would need to sin rule.

2. la

3. Kuoministers

have you learnt of special triangles?

4. la

30 60 90...45 45 90..i learned them

5. Kuoministers

if you used the sin rule the length opposite 60 is $\sqrt{48}$

6. Kuoministers

they want the area of this question right?

7. la

yes

8. Kuoministers

if you used the sin rule again you would find the bottom length to be equal to 4.

9. Kuoministers

so the area of the triangle is equal to 8 root 3. $8\sqrt{3}$

10. la

HOW U GET THAT?

11. Kuoministers

ok.. the area of the traingle is 1/2 b h right? 1/2 * 4 * $\sqrt{48}$ I have gotten this by using right angle trig? sin cos tan?

12. Kuoministers

1/2 * 4 * $\sqrt{48}$ = $\sqrt{192}$ which is simplified to be$8\sqrt{3}$

13. la

so now i know that whats next?

14. Kuoministers

well i got the area of the triangle so all you need now is area of rectangle and add them together

15. Kuoministers

and sorry this has nothing to do with special triangles

16. Kuoministers

ill complete it for you... (hope you can understand this) the bottom of the rectangle is equal to 6 ( 10-4) the length is $\sqrt{48}$ so its $\sqrt{48}$ * 6 which is $24\sqrt{3}$ so now we add these area together which is $32\sqrt{3}$

17. Kuoministers

do you understand it if you dont ill explain it again :)

18. la

i thought the bottom rectangle was 4?

19. Kuoministers

It says on the diagram the whole length which is the triangle and rectangle is equal to 10. The bottom of the triangle is 4. So the rectangle is 10-4. which is 6

20. la

oh okay! THANK U SO MUCH!:)

21. Kuoministers

:)

22. Kuoministers

if you dont mind giving me a medal :) please do

23. la

HOW CAN I DO THAT?

24. Kuoministers

click best response lol

25. Kuoministers

26. la

OH lol ok i will wait hold up wat do i add to get 32√3 lol

27. Kuoministers

well the area of the triangle and area of rectangle which is 24 root 3 + 8 root 3

28. la

okay thank u!! so much:)