Answer:
41.74 m²
Step-by-step explanation:
We have:
rectangle 4.8 m × 3.8 m
two triangles with base b = 4.8 m and height h = 2.6 m
two triangle with base b = 3.8 m and height h = 2.9 m.
The formula of an area of a rectangle l × w:
[tex]A = lw[/tex]
Substitute:
[tex]A_1 = (4.8)(3.8) = 18.24\ m^2[/tex]
The formula of an area of a triangle:
[tex]A=\dfrac{bh}{2}[/tex]
Substitute:
[tex]A_2=\dfrac{(4.8)(2.6)}{2}=6.24\ m^2\\\\A_3=\dfrac{(3.8)(2.9)}{2}=5.51\ m^2[/tex]
The Surface Area:
[tex]S.A.=A_1+2A_2+2A_3\\\\S.A.=18.24+2(6.24)+2(5.51)=41.74\ m^2[/tex]
