Answer:
I know it is late but for future reference by others who area asking
Total surface area is 3,180 square inches
Step-by-step explanation:
step 1--find the area of the triangle 1
A= 1/2 ab
= 1/2(12 in)(40 in)
=1/2 (480 sq. in)
= 240 sq. in
so in similarly of triangle 2 will be the same as triangle 1 = 240 sq. in.
step 3-find the area of rectangle 3
A= cd
=(30 in)(37 in)
= 1,110 sq. in
step 4-find the area of rectangle 4
A=bc
=(40 in)(30 in)
=1,200 sq in.
step 5-find the area of rectangle 5
A= ce
=(30 in)(13 in)
=390 sq in.
Add all the areas together to get total surface area of the given figure
Total surface area = 2(1/2ab) + (cd) + (bc) + (ce)
=2(240) sq in. + 1,100 sq in. + 1, 200 sq in. + 390 sq in.
= 480 sq in + 1,100 sq in. + 1, 200 sq in. + 390 sq in.
=3,180 sq in.
