The given figure's surface area is
Step-by-step explanation:
Step 1:
To calculate the surface area of the given figure, we need to find the surface areas of the different shapes in the figure.
There are 3 rectangles and 2 triangles in the figure.
Step 2:
Out of the 3 rectangles, 2 are similar and 1 is different.
The surface area of a rectangle = [tex](l)(w).[/tex]
The similar rectangles have a length of 2 meters and a width of 4 meters.
The surface area of 1 similar rectangle = [tex](2)(4)= 8[/tex] square meters.
The surface area for both the similar rectangles = [tex]2(8) = 16[/tex] square meters.
The central rectangle's length is 3 meters and it's width is 4 meters.
The surface area of the central rectangle = [tex](3)(4) = 12[/tex] square meters.
Step 3:
The triangle's surface area is [tex]\frac{1}{2}[/tex] times the product of it's base length and height. Both the triangles are similar.
The triangles have base lengths of 3 meters and heights of 2 meters.
The surface area of 1 triangle = [tex]\frac{1}{2}(b)(h) = \frac{1}{2} (3)(2) = 3[/tex] square meters.
The surface area of 2 triangles = [tex]2(3) = 6[/tex] square meters.
Step 4:
To calculate the entire shape's surface area, we sum up all the individual surface area.
The total surface area [tex]= 16 + 12 + 6 = 34[/tex] square meters.
