## Mindblast3r one year ago help!

1. mindblast3r

2. anonymous

So we know that the top side of the rectangle is 3, which also means the bottom side of the rectangle is also 3.

3. anonymous

The total length of the bottom side is 5. We just said that the bottom side of the rectangle is 3. So 5 - 3 = 2. 2 is the bottom length of the triangle

4. mindblast3r

ok i figured that out,

5. mindblast3r

@happyrosy

6. mindblast3r

6.7?

7. mindblast3r

$\sqrt{45}$

8. anonymous

Did you know that this is a trapezoid. Area of a trapezoid is calculated by this formula: $A = (\frac{ b _{1} + b _{2}}{ 2 }) * h$

9. anonymous

|dw:1433123388597:dw|

10. anonymous

That other drawing had a mistake. The above one is correct.

11. anonymous

To find the other leg of the triangle, use the Pythagorean Theorem. $c ^{2} = a ^{2} + b ^{2}$

12. mindblast3r

well the Pythagorean theorem can be used.

13. anonymous

Yes correct

14. mindblast3r

yes i figured out the answer it's the square root of 45.

15. anonymous

You said square root of 45, which is correct.

16. anonymous

Okay so we found all the necessary lengths. Now we have to calculate using the formula for area of a trapezoid

17. anonymous

Okay so Base 1 = 3 and Base 2 = 5, the total bottom length of the trapezoid

18. anonymous

Find the average between the 2 bases. 3 + 5 = 8. 8/2 = 4 Average is 4. Then multiply this number by the height which is the square root of 45

19. anonymous

$A = 4\sqrt{45}$ which is $A = 4 * (\sqrt{9} * \sqrt{5})$ which is $A = 4 * (3\sqrt{5})$ which is simplified to $A = 12\sqrt{5}$

20. anonymous

Rounded to the nearest tenth would be 26.8