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To find the lateral area, start with the formula for the lateral area of a rectangular prism: 2h(l + w). The height (h) is 5 cm and the length (l) is 17 cm.
Lateral area = 2(5)(17) = 170 cm^2
To find the surface area, first find the area of the rectangular bases: 17 cm * 5 cm = 85 cm^2 for each base.
Surface area = 2(85) + 170 = 340 + 170 = 510 cm^2
Therefore, the correct answer is:
69 cm^2; 307 cm^2