Question

Find the surface area of the figure using the net shown. The area of the figure is yd2

Answer 1

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