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Answer:
the lateral area of the regular prism is 30 cm².
Step-by-step explanation:
Given;
the base of the regular prism, b 4cm
height of the prism, h = 2.5 cm
The lateral area of the regular prism is calculated as the product of the base perimeter and height of the prism.
L.A = P x h
where;
P is the perimeter of the base = 3 x 4cm (equilateral triangle has equal sides)
P = 12 cm
L.A = 12 cm x 2.5 cm
L.A = 30 cm²
Therefore, the lateral area of the regular prism is 30 cm².