Correct option B)[tex]63.4km^2[/tex] .
Step-by-step explanation:
We have the following figure attached as shown below.
Now, this triangular prism have 2 similar right angled surfaces and 3 rectangular surfaces , Let's calculate area for all of them:
2 similar right angled surfaces
We know that area of triangle = [tex]\frac{1}{2} b(h)[/tex]
⇒ [tex]area = \frac{1}{2} b(h)[/tex]
⇒ [tex]area = \frac{1}{2} (3.6)(7.7)[/tex]
⇒ [tex]area = 13.86km^{2}[/tex]
But there 2 such surfaces so , [tex]area = 2(13.86) = 27.72km^2[/tex]
3 rectangular surfaces
Area of rectangle = [tex]length(breadth)[/tex]
⇒ [tex]area_1 = 3.6(1.8)[/tex]
⇒ [tex]area_1 = 6.48km^2[/tex]
⇒ [tex]area_2= 7.7(1.8)[/tex]
⇒ [tex]area_2 = 13.86km^2[/tex]
⇒ [tex]area_3 = 8.5(1.8)[/tex]
⇒ [tex]area_2 = 15.3km^2[/tex]
Total area =[tex]6.48 + 13.86 + 15.3 = 35.64km^2[/tex]
Adding area of 2 similar right angled surfaces & 3 rectangular surfaces:
[tex]Area = 27.72+35.64 = 63.36km^2[/tex] = [tex]63.4km^2[/tex]
Correct option B)[tex]63.4km^2[/tex] .
