Question

If possible, could someone assist me by showing me how to get the plausible answer as I was absent while my professer went over this topic.

Answer 1

`7.5m^2`

Explanation:

Divide the composite shape into two shapes, a rectangle and a triangle.

We can see that the rectangle has dimensions of 3 x 2.

We can use the area formula.

`A=b*h`

`A=3*2`

`A=6`

We can also see that the triangle has a height of 3 and a base of 1 (3 - 2).

We can use the area formula.

`A=(1)/(2)(b*h)`

`A=(1)/(2)(3)`

`A=1.5`

Now we can add these areas together.

`1.5 +6=7.5`