Can someone explain it to me?
1 answer:
9514 1404 393
Answer:
175.2 square feet
Step-by-step explanation:
The lateral area is the total area of the side faces. It excludes the area of the top and bottom "bases" of the prism.
It can be found by adding the areas of the four rectangles. The two you can't see have the same areas as the two you can see.
Since the height of each rectangle is 4 feet. the total area will be the product of that and the perimeter of the prism.
LA = Ph . . . . perimeter times height
LA = 2(L+W)h . . . . the perimeter is twice the sum of length and width
LA = 2(12.3 ft + 9.6 ft)(4 ft) = 2(21.9 ft)(4 ft) = 175.2 ft²
The lateral area of the prism is 175.2 ft².
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The attachment shows scribbling on two of the faces that contribute to the lateral area. As stated above, the other two faces are the same size as these.
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