Find the area of the trapezoid .

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jimrgrant1 jimrgrant1 · Answer 1 · 2019-06-10T22:11:43+02:00

Answer:

303.66 in²

Step-by-step explanation:

The area (A) of a trapezoid is

A = [tex]\frac{1}{2}[/tex] 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

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luisejr77 luisejr77 · Answer 2 · 2019-06-10T22:20:59+02:00

Answer: THIRD OPTION.

Step-by-step explanation:

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

[tex]A=\frac{h}{2}(B+b)[/tex]

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

You can identify that:

[tex]h=12.6in\\B=29.2in\\b=19in[/tex]

Therefore, you need to substitute these values into the formula [tex]A=\frac{h}{2}(B+b)[/tex] to calculate the area of that trapezoid. This is:

[tex]A=\frac{12.6in}{2}(29.2in+19in)\\\\A=303.66in^2[/tex]

This matches with the third option.