Area of triangle = A(t) = 1/2(base x height)
Area of square = A(s) = base x height
A(s) = 2 x 2 = 4
2(A(s)) = 2(1/2(2)(2) = 2(1/2(4)) = 2(2) = 4
Add the two areas together
4 + 4 = 8
8 units² is your answer
The shape is a polygon called a trapezoid. The trapezoid has two parallel sides. The bottom parallel side measures 2 units. The upper parallel side measures 2 + 2 + 2 = 6 units. The perpendicular to the bases is the height; it measures 2 units.
Area of trapezoid:
A = (B + b)h/2
where B = length of one base
b = length of other base
h = length of height
A = (6 + 2)(2)/2
A = 8
Answer: 8 units^2
