Answer:
The answer to your question is 61.8 in²
Step-by-step explanation:
Process
1.- Calculate the height of the triangle
3² = h² + 1.5²
h² = 3² - 1.5²
h² = 9 - 2.25
h² = 6.75
h = 2.6 in
2.- Calculate the area of the triangles
Area = [tex]\frac{base x height}{2}[/tex]
Area = [tex]\frac{3 x 2.6}{2}[/tex]
Area = 3.9 in²
There are 2 triangles = 2(3.9) = 7.8 in²
3.- Calculate the area of the rectangles
Area = base x height
Area = 6 x 3 = 18 in²
There are 3 rectangles = 3(18) = 54 in²
4.- Total area
At = 7.8 + 54
= 61.8 in²
