<u>Answer:</u>
The correct answer option is 450
.
<u>Step-by-step explanation:</u>
We are given a diagram of a prism with side measurements of 5 mm, 12 mm, 13 mm and a height of 15 mm and we are to find the lateral area of this prism.
We know that the formula of the lateral area of a prism is given by:
<em>Lateral area of prism = perimeter × height</em>
Substituting the given values in the formula to get:
Lateral Area = ( 5 + 12 + 13) x 15 = 450 mm^2