Answer:
[tex]7.5\ units^2[/tex]
Step-by-step explanation:
The formula to find the area of a trapezoid is the following,
[tex]A=(h)(\frac{(b_1)+(b_2)}{2})[/tex]
Where ([tex]h[/tex]) represents the heights of the trapezoid, ([tex]b_1[/tex]) and ([tex]b_2[/tex]) represent the bases of the trapezoid, or rather the two parallel sides of the trapezoid.
One is given all of these values in the picture,
[tex]h = 2.5\\\\b_1 = 2\\\\b_2 = 4[/tex]
Substitute these values into the formula and solve for the area of the trapezoid,
[tex]A=(2.5)(\frac{(2)+(4)}{2})[/tex]
Simplify,
[tex]=(2.5)(\frac{6}{2})\\=(2.5)(3)\\=7.5[/tex]
