Answer:
The correct option is B.
Step-by-step explanation:
The area of pyramid is the sum of area of rectangular base and 4 triangular sides. Two triangle have base 18 ft and height 14.1 ft. Other two have base 10 ft and height 16 ft.
The area of rectangle is
[tex]A=length\times width[/tex]
Length of the base is 18ft and width is 10ft.
[tex]A_1=18\times 10=180[/tex]
The area of a triangle is
[tex]A=\frac{1}{2}\times base \times height[/tex]
The area of triangle with base 18 ft and height 14.1 ft is
[tex]A_2=\frac{1}{2}\times 18 \times 14.1=126.9[/tex]
The area of triangle with base 10 ft and height 16 ft is
[tex]A_3=\frac{1}{2}\times 10 \times 16=80[/tex]
The total surface area of the rectangular pyramid is
[tex]A=A_1+2\times A_2+2\times A_3[/tex]
[tex]A=180+2\times (126.9)+2\times (80)[/tex]
[tex]A=593.8[/tex]
The surface area of the rectangular pyramid is 593.8 ft². Therefore the correct option is B.
