Question

SOMEBODY PLEASE HELP ME I REALLY NEED IT

Answer 1

The area is 35 square units.

Explanation:

The entire figure is formed by four triangles and a rectangle, whose sum represents the total area (
`A_(T)`), in square units, represented by the following formula:

`A_(T) = A_(1) + A_(2) + A_(3) + A_(4) + A_(5)` (1)

Where:

`A_(1)`,
`A_(2)`,
`A_(3)`,
`A_(4)` - Areas of the four triangles.

`A_(5)` - Area of the rectangle.

By using the area formulas of a triangle and rectangle we expand the equation described above:

`A_(T) = (1)/(2)\cdot (3)\cdot (6) + (1)/(2)\cdot (3)\cdot (2) + (1)/(2)\cdot (2)\cdot (2) + (1)/(2)\cdot (3)\cdot (6) + (2)\cdot (6)`

`A_(T) = 35\,u^(2)`

The area is 35 square units.