Answer:
Surface area = 233 yards²
Step-by-step explanation:
The surface area of the figure below is the sum of the area of each faces. This means the total surface area of the figure.
The figure has 4 triangle and 1 rectangle. The surface area will be the sum of area of the rectangle and the area of the 4 triangles.
surface area = base area(rectangle) + 2(area of similar triangle) + 2(area of similar triangle)
Base area
area of the rectangle = length × breadth
area of the rectangle = 16 × 5 = 80 yards²
Area of the 2 similar triangle
area of triangle = 1/2 × base × height
area of triangle = 1/2 × 5 × 5
area of the triangle = 25/2 = 12.5
For the 2 similar triangle = 12.5 × 2 = 25 yard²
Area of the other 2 similar triangle
area of a triangle = 1/2 × base × height
area = 1/2 × 16 × 8 = 128/2 = 64 yards²
For the 2 similar triangle = 64 × 2 = 128 yards²
Surface area = 80 yards² + 25 yard²+ 128 yards² = 233 yards²
