Answer:
37 yd²
Explanation:
The computation of the surface area of this triangular pyramid is shown below:
The surface area of this triangular pyramid is
But before that
Lateral area = 3(1 ÷ 2) × base × height
= (3 ÷ 2)(4 yd)(5 yd)
= 30 yd²
Now
base area = 1 ÷ 2 × base × height
= 1 ÷ 2(4 yd)(3.5 yd)
= 7 yd²
Now the total surface area is
surface area = lateral area + base area
= 30 yd² + 7 yd²
= 37 yd²