Answer:
6.75m^2
Explanation:
The shape is made up of a trapezoid on top and a rectangle on the bottom.
The rectangle's area is easier, so first:
Area_rectangle
= length × width
= 2.5 × .5
= 1.25 m^2
For area of a trapezoid, you need three measures: both bases and the height.
One base is 3m. The other base is the top side of the rectangle, so it is 2.5m.
The height is
2.5 - .5
because the height of the trapezoid is not including the rectangle, so take away .5
Trapezoid's height is 2.5 - .5 is 2.
Area_trapezoid
= 1/2 (base+base)height
= 1/2 (3+2.5)2
=5.5
Area_total
= Trapezoid+rectangle
= 5.5 + 1.25
=6.75m^2
The total area is 6.75square meters.