Question

Find the area of the shape shown below using the screenshot I took

Answer 1

For this case we have that the figure shown is composed of three triangles and a square. By definition, the area of a triangle is given by:

$A = \frac {1} {2} b * h$

Where:

b: It's the base

h: It's the height

We have 3 triangles, then the sum of their areas will be:

$A = \frac {1} {2} (9 * 3.5) + \frac {1} {2} (2 * 2) + \frac {1} {2} (5 * 2)\\A = 15.75 + 2 + 5\\A = 22.75 \ units ^ 2$

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

$A = l ^ 2$

Where:

l: It's the side of the square

According to the figure we have:

$A = 2 ^ 2\\A = 4 \ units ^ 2$

So, the total area is:

$A_ {t} = 22.75 + 4\\A_ {t} = 26.75 \ units ^ 2$

Answer:

$A_ {t} = 26.75 \ units ^ 2$