1. use formulas to find the lateral area and surface area of the given prism. round your answer to the nearest whole number. use the large 12 * 7 m rectangles on the top and bottom as the bases. the lengths are 2m, 12m, and 7m. 2. use formulas to find the lateral area and surface area of the given prism. round your answer to the nearest whole number. lengths are 6m, 9m, 26m, 10.82m.

A-B-A-B-A-A-C-C-D-A

Step-by-step explanation

10 might be different on some ppls keep that in mind :-)

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

this is a very good question

step-by-step explanation:

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