Answer:
The correct option is 1.
Step-by-step explanation:
The wedge contain 3 different rectangles and 2 congruent triangles.
Area of a triangle is
[tex]A=\frac{1}{2}\times base\times height[/tex]
From the given figure it is clear that base of the both triangles is 4 ft and height is 3 ft.
Area of a triangle is
[tex]A_1=\frac{1}{2}\times 4\times 3=6[/tex]
Area of a rectangle is
[tex]A=length\times width[/tex]
Length and width of the first rectangle are 6 ft and 3 ft respectively. So, the area first rectangle is
[tex]A_2=6\times 3=18[/tex]
Length and width of the second rectangle are 6 ft and 4 ft respectively. So, the area second rectangle is
[tex]A_3=6\times 4=24[/tex]
Length and width of the third rectangle are 6 ft and 5ft respectively. So, the area third rectangle is
[tex]A_4=6\times 5=30[/tex]
The total area of this wedge is
[tex]A=2(A_1)+A_2+A_3+A_4[/tex]
[tex]A=2(6)+18+24+30[/tex]
[tex]A=84[/tex]
The area of wedge is 84 square ft.
Therefore, option 1 is correct.
