The dimensions of the solid given are 10x7x2 units. The
length of the diagonal is

12.37 units

Step-by-step explanation:

The dimension supplied can be interpreted as :

Length(L) = 10 ; width(W) = 7; Height(H) = 2

The dimension supplied gives an insight that the solid is most likely a rectangular box.

The diagonal(d) of the solid(rectangular box) is calculated by:

d^2 = L^2 + W^2 + H^2

d^2 = 10^2 + 7^2 + 2^2

d^2 = 100 + 49 + 4

d^2 = 153

d = √153

d = 12.37 units

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.