Question

Find the area for the following shape.

Answer 1

area=54

let me know if you want an explanation

Answer 2

For this case, we have that the figure shown is formed by a square and by two triangles (one on the top and one on the side of the square). By definition, the area of a triangle is given by:

`A_ {t} = \frac {b * h} {2}`

Where:

b: It's the base

h: It's the height

On the other hand, the area of a square is given by;

`A_ {s} = l ^ 2`

Where:

l: It's the side of the square.

The total area of the figure will be:

`A_ {T} = A_ {t1} + A_ {t2} + A_ {s}\\A_ {T} = \frac {10 * 3} {2} + \frac {6 * 1} {2} + 6 ^ 2\\A_ {T} = 15 + 3 + 36\\A_ {T} = 54 \ units ^ 2`

Answer:

`A_ {T} = 54 \ units ^ 2`