1. Kuoministers Group Title

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 Group Title

3. Kuoministers Group Title

have you learnt of special triangles?

4. la Group Title

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

5. Kuoministers Group Title

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

6. Kuoministers Group Title

they want the area of this question right?

7. la Group Title

yes

8. Kuoministers Group Title

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

9. Kuoministers Group Title

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

10. la Group Title

HOW U GET THAT?

11. Kuoministers Group Title

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 Group Title

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

13. la Group Title

so now i know that whats next?

14. Kuoministers Group Title

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

15. Kuoministers Group Title

and sorry this has nothing to do with special triangles

16. Kuoministers Group Title

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 Group Title

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

18. la Group Title

i thought the bottom rectangle was 4?

19. Kuoministers Group Title

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 Group Title

oh okay! THANK U SO MUCH!:)

21. Kuoministers Group Title

:)

22. Kuoministers Group Title

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

23. la Group Title

HOW CAN I DO THAT?

24. Kuoministers Group Title

click best response lol

25. Kuoministers Group Title

26. la Group Title

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

27. Kuoministers Group Title

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

28. la Group Title

okay thank u!! so much:)