Answer:
59.6 ft²
Step-by-step explanation:
The surface area of the pillow is the total area of the net.
The net is made up of 3 rectangles and 2 congruent triangles.
Area of a rectangle = width × length
Area of a triangle = 1/2 × base × height
Rectangle 1 (left)
area = 4 × 5 = 20 ft²
Rectangle 2 (middle)
area = 4 × 5.4 = 21.6 ft²
Rectangle 3 (right)
area = 2 × 4 = 8 ft²
Triangle
area = 1/2 × 5 × 2 = 5 ft²
(Be careful here, as it is easy to use the wrong length for the base of the triangle. The base and height of the triangle are perpendicular, so at right angles to each other. Therefore, the base is 5ft and the height is 2ft)
Total area = rectangle 1 + rectangle 2 + rectangle 3 + 2 × triangle
= 20 + 21.6 + 8 + (2 × 5)
= 49.6 + 10
= 59.6 ft²
