Question

Find the area of the trapezoid .

Answer 1

303.66 in²

Explanation:

The area (A) of a trapezoid is

A =
`(1)/(2)` h (a + b)

where h is the perpendicular height and a, b the parallel bases

here h = 12.6, a = 19 and b = 29.2, so

A = 0.5 × 12.6 × (19 + 29.2)

= 0.5 × 12.6 × 48.2 = 303.66 in²

Answer 2

Answer: THIRD OPTION.

Explanation:

The area of a trapezoid can be calculated with this formula:

`A=(h)/(2)(B+b)`

Where "h" is the height, "B" is the long base and "b" is the short base.

You can identify that:

`h=12.6in\\B=29.2in\\b=19in`

Therefore, you need to substitute these values into the formula
`A=(h)/(2)(B+b)` to calculate the area of that trapezoid. This is:

`A=(12.6in)/(2)(29.2in+19in)\\\\A=303.66in^2`

This matches with the third option.