Question

Find the area of the Trapezoid

16.6 mi
6.7 mi
13.1 mi
18.5 mi

please explain I'll mark brainlisest ​

Answer 1

The area of the trapezoid is 165.06mi.

Explanation:

We can find the area of a trapezoid by the following formula:

`\boxed{A_T = ((B + b) \cdot h)/(2) }`

• 
  `A_T` is the area of the trapezoid (in our case, it is what we want to find)
• 
  `B` is the biggest base (in our case, the biggest base is 18.5 mi)
• 
  `b` is the smallest base (in our case, the smallest base is 6.7 mi)
• 
  `h` is the height (in our case, the base height is 13.1 mi)

Note: Base are the parallel sides of the trapezium.

Now, let's change the values in the previous formula:

`A_T = ((B + b) \cdot h)/(2)\\\\A_T = ((6.7 + 18.5) \cdot 13.1)/(2)\\\\A_T = (25.2 \cdot 13.1)/(2)\\\\A_T = (330.12)/(2)\\\\A_T = 165.06`

Therefore, the area of this trapezoid is 165.06 mi.

I hope I've helped.

Happy studying! =D