Question

I have no clue how to solve this and it’s really stressing me out! Can anyone help?

Answer 1

302.02 units²

Explanation:

To do this, we can first solve for the height of the trapezoid. We can do this using sin:

sin 70=
`(x)/(14)`

14· sin 70≈13.16

Now, we can solve for the base of the small triangle on the right by:

cos 70=
`(x)/(14)`

14 · cos 70 ≈4.79

Now, find the area of the triangle using
`V= (1)/(2) bh`:

V= (4.79)(13.16)/2≈30.86

Now, we can find the area of the rectangle in the middle by:

15· 13.16 (the height)= 197.4

Now, we need to solve for the triangle on the left. We will need to first find the base by subtracting the bases of the other figures from 31:

31-4.79-15= 11.21

Now, find the area of the triangle:

V=(11.21)(13.16)/2= 73.76

Add all of the areas, giving you:

73.76+30.86+197.4= 302.02 units²