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Length of smaller square: 4

Length of larger square √32 or 5.66

Area of smaller square: 16

Area of larger square: 32

Step-by-step explanation:

See attachment

The Midpoint Theorem states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side.

So for triangle ABD, the length from (-2,2) to (2,2) equals of 1/2 of AD: 8/2 = 4

so the areas of smaller square is 4 x 4 = 16

And for triangle ABD, AD^2 = AB^2 + BD^2

since AB = BD => AD^2 = 2AB^2

AB^2 = (AD^2)/2 = (8^2)/2 = 64/2 = 32

AB = √32

so the area of larger square = (√32)(√32) = 32

Hope this helps

step-by-step explanation:

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d