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## Faman39 3 years ago What is the surface area of the composite figure? 176 mm2 192 mm2 208 mm2 304 mm2

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1. Faman39

2. freewilly922

You have 4 triangles with Height = 3mm and base = 8 mm and 5 rectangles with base= 8mm and height=2mm Do you know the area of a triangle with respect to base and height? ditto with rectangles?

3. freewilly922

Sorry 4 rectangles

4. Faman39

Sorry but i still could not get this, how to solve ?

5. Faman39

@ghazi can you able to help me with it?

6. ghazi

its easy you can do it, it is sum of surface areas

7. freewilly922

Triangle area is 0.5 B H so (3)(8) = 24 mm squared but there are 4 so (24)(4) mm squared for the roof. For rectangles area is BH so (8)(2) = 16 but we have 4 so (16)(4) the total surface area would be then the sum from the roof and the sides or (24)(4) + (16)(4) = (38)(4) = 152 mm squared

8. Faman39

Thank you so much guys :)

9. ghazi

it's 4*(8*2)+(8*8)+4(2*1/2*4*3)

10. Faman39

Thanks alot guys! :)

11. freewilly922

forgot the halves in the triangle calculation. Triangle area is 0.5 B H so 0.5(3)(8) = 12 mm squared but there are 4 so (12)(4) mm squared for the roof. For rectangles area is BH so (8)(2) = 16 but we have 4 so (16)(4) the total surface area would be then the sum from the roof and the sides or (12)(4) + (16)(4) = (28)(4) = 112 mm squared plus 64 for the bottom to get 176 mm squared

12. Faman39

:) thanks @freewilly922 and @ghazi !! you guys are truly very awesome!!!!!!

13. ghazi

you're welcome

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