Question

Find the area of the shape shown below.​

Answer 1

32 square units or 32 units ²

Explanation:

Trapezoid's area formula is 1/2h(b₁+b₂)

So in this case, we are doing ½4(12+4)

So 12+4=16.

16×4 is equivalent to 64.

64 multiplied by 1/2 is 32.

Answer 2

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

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

Where:

B: It is the major base

b: It is the minor base

h: It is the height

According to the figure we have:

`B = 12 \ units\\b = 4 \ units\\h = 4 \ units`

Substituting:

`A = \frac {(12 + 4) * 4} {2}\\A = \frac {16 * 4} {2}\\A = \frac {64} {2}\\A =32\ units ^ 2`

Thus, the area of the figure is
`32 \ units ^ 2`

Answer:

`32 \ units ^ 2`