Answer:
48ft²
Explanation:
Visualize the trapezoid as consisting of a rectangle with two triangles on either side. To find its total area, find the area of each and add them up.
Note that the formula for the area of a square is (base*height) and the formula for the area of a triangle is (0.5*base*height). The bottom of the trapezoid is 15ft and the top is 9ft, which makes the combined bases of the two triangles 15-9=6ft, meaning each triangle's base is 3ft.
Area of left triangle = 0.5*3*4 = 6ft²
Area of square = 4*9 = 36ft²
Area of right triangle = 0.5*3*4 = 6ft²
Therefore the total area is: 6ft² + 36ft² + 6ft² = 48ft²