Answer:
1058.4 in^2
Step-by-step explanation:
Find the surface areas of the rectangular prism and the triangular prisms separately.
Triangular: S = (1/2)lP+B, where l is slant height, P perimeter, and B base area.
14(4)= 56 perimeter of base
13 slant height
B = 14x14 = 196
put together:
S = (1/2)(13 x 56) + 196
S = 560 in^2
Now the rectangular prism
S = 2lw + 2lh + 2wh, where l is length, h height, w width. (delete the first 2lw since they share one side/they're combined shapes.
S = 2(14x8.9) + 2(14x8.9)
S = 498.4 in^2
Add them together: 498.4 + 560 = 1058.4 in^2
Teddy =X
Dolls= 2x-14
2x-14+X=52
3X-14=52
Add 14
3X=66
Divide by 3
X= 22
Teddy are 22
Dolls 2(22)-14=30
This is the answer [-7,-2]
area of perimeter : length × height
= 10.8km × 6km
=64.8km^2
