Question

I just need help figuring out the area question which is on the bottom

Answer 1

A

To find the area of the shaded region we have to:

Find the area of the outer trapezoid and then substract the area of the inner trapezoid.

B.

The area of a trapezoid is given as:

`A=(1)/(2)(b_1+b_2)h`

where b1 is the greater bae, b2 is the smaller base and h is the height.

The outer trapezoid has a greater base of 6 units, smaller base of 2 units and height of 6 units, then its area is:

`A_O=(1)/(2)(6+2)6=24`

The inner trapezoid has a greater base of 4 units, smaller base of 2 units and height of 3 units, then its area is:

`A_I=(1)/(2)(4+2)3=9`

Therefore the area of the shaded figure is 15 squared units.