Answer:
39[tex]ft^{2}[/tex]
Step-by-step explanation:
Area of a triangle = [tex]\frac{1}{2}[/tex] × base × height
All four triangles are similar. So finding the area of one triangle, will be the area of the other triangles.
[tex]\frac{1}{2}[/tex] × 3 × 5 = 7.5[tex]ft^{2}[/tex]
∴ The area of 4 triangles are 7.5 × 4 = 30[tex]ft^{2}[/tex]
Then the only shape remaining is the square.
Area of the square = [tex]length^{2}[/tex] (all the sides of a square are equal)
= [tex]3^{2}[/tex] = 9[tex]ft^{2}[/tex]
Total surface area = 30 + 9 = 39[tex]ft^{2}[/tex]
