Question

Find the area of the trapezoid .

Answer 1

Answer: THIRD OPTION.

Step-by-step explanation:

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

$A=\frac{h}{2}(B+b)$

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  $A=\frac{h}{2}(B+b)$ to calculate the area of that trapezoid. This is:

 $A=\frac{12.6in}{2}(29.2in+19in)\\\\A=303.66in^2$

This matches with the third option.

Answer 2

Answer:

303.66 in²

Step-by-step explanation:

The area (A) of a trapezoid is

A = $\frac{1}{2}$ 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