Respuesta :

Edufirst

Answer:

  • 307.5 in²

Explanation:

A trapezoid , uisng the inclusive definition, is a quadrilateral with at least two paralell bases.

In the given trapezoid, the lengths of the parallel bases are:

  • b₁ = 20 in
  • b₂ = 29.2 in
  • height = 12.5 in

The formula to find the area, A, of a trapezoid is:

  • A = (1/2) (b₁ + b₂) × height.

Substituting you find:

  • A = (1/2) (20 in + 29.2 in) × 12.5 in = (1/2) (49.2 in) (12.5 in) = 307.5 in²

carlosego

For this case we have that by definition, the area of a trapezoid is given by:

[tex]A = \frac {1} {2} (B_ {1} + B_ {2}) * h[/tex]

Where:

[tex]B_ {1}[/tex]: Major Base

[tex]B_ {2}[/tex]: Minor Base

h: Height

According to the data we have:

[tex]B_ {1} = 29.2 \ in\\B_ {2} = 20 \ in\\h = 12.5 \ in\\[/tex]

Substituting we have:[tex]A = \frac {1} {2} (29.2 + 20) * 12.5\\A = \frac {1} {2} (49.2) * 12.5\\A = 307.5 \ in ^ 2[/tex]

Finally, the area of the trapezoid is:

[tex]A = 307.5 \ in ^ 2[/tex]

Answer:

[tex]A = 307.5 \ in ^ 2[/tex]

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