Question

Find the area of the trapezoid

Answer 1

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

`A = \frac {1} {2} (B_ {1} + B_ {2}) * h`

Where:

`B_ {1}`: Major Base

`B_ {2}`: Minor Base

h: Height

According to the data we have:

`B_ {1} = 29.2 \ in\\B_ {2} = 20 \ in\\h = 12.5 \ in\\`

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

Finally, the area of the trapezoid is:

`A = 307.5 \ in ^ 2`

Answer:

`A = 307.5 \ in ^ 2`

Answer 2

• 307.5 in²

Step-by-step 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