Find the surface area of the prism. 1) What is the area of the bases?
2) What is the area of the lateral faces?
3) What is the surface area for the prism?
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Area Base = 6 ft²

Area Lateral = 48 ft²

Surface Area = 60 ft²

Step-by-step explanation:

Area of the Base:

2 x 3 = 6 ft ²

Area lateral =

4 x ( 3 x 4) = 4 x 12 = 48 ft²

Surface Area =

6 ft² + 6ft² + 48 ft² = 60 ft²

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3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

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im not sure