Answer:
Total surface area = 132 square feet
Step-by-step explanation:
Surface area of the triangular prism = Area of the triangular bases + Area of the lateral rectangular sides
Area of the triangular surface = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}\times 5\times 4[/tex]
= 10 square feet
Area of the rectangular side with dimensions 5ft by 7ft,
Area = 5 × 7 = 35 square feet
Area of the rectangular side with dimensions 7ft by 4ft,
Area = 7 × 4 = 28 square feet
Area of the rectangular side with dimensions 7ft by 7ft,
Area = 7 × 7 = 49 square feet
Total surface area = 2(10) + 35 + 28 + 49
= 132 square feet
