Question

PLS ANSWER I'M GIVING 40 POINTS!!!!!!

Answer 1

`19 sq.\ units`

Explanation:

The best way to approach this is to figure out the area of the overall square, then remove any gaps.

The overall square is 5 by 5 so the area is:

`A_t = s * s = 5 * 5 = 25\ sq.\ units`

There are 5 gaps in the shape of triangles, we will use the formula:
`A = (bh)/(2)`, and subtract from the total.

1. (Top left)

`A_1 = (bh)/(2) = (2 * 1)/(2) = 1`

2. (Top right)

`A_2 = (bh)/(2) = (2 * 1)/(2) = 1`

3. (Bottom left)

`A_3 = (bh)/(2) = (2 * 1)/(2) = 1`

4. (Bottom center)

`A_4 = (bh)/(2) = (2 * 1)/(2) = 1`

5. (Bottom right)

`A_3 = (bh)/(2) = (2 * 2)/(2) = 2`

The total triangle area is:

`A = 1 + 1 + 1 + 1 + 2 = 6`

Subtract from total area to actual area:

`A_s = A_t - A = 25 - 6 = 19 sq.\ units`