Find the lateral area of the prism below. Round your answer to the nearest whole number.

A triangular prism has sides at each end that are right triangles. The hypotenuse is 5.39m and the sides are 2m and 5m. The prism has a length of 26m.
(1 point)
Responses

327 m2
327 m 2

296 m2
296 m 2

332 m2
332 m 2

322 m2

1 answer

The lateral area of a triangular prism can be calculated by finding the perimeter of the base (the two legs and the hypotenuse) and multiplying it by the height of the prism.

Perimeter of the base = 2m + 5m + 5.39m = 12.39m

Lateral area = Perimeter of the base * height = 12.39m * 26m = 321.14 m2

Rounded to the nearest whole number, the lateral area of the prism is 321 m2.

Therefore, the closest answer from the provided options is 322 m2.