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Sm1 please answer this ​

Sm1 please answer this ​-example-1

1 Answer

3 votes

Answer: 155 square inches (choice D)

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Step-by-step explanation

This figure is a pyramid or a tent shape. It has a rectangular floor and 4 triangular walls.

The rectangular floor is 5 inches by 12 inches. The floor area is 5*12 = 60 square inches.

The front triangular face has base 12 and height 5

area of triangle = 0.5*base*height = 0.5*12*5 = 30 sq inches

There's a mirrored copy of this face in the back, so that's another 30 sq inches.

The left and right faces have area of 17.5 sq inches each because of this scratch work:

area = 0.5*base*height = 0.5*5*7 = 17.5

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To recap

  • floor area = 60 sq inches
  • front and back faces = 30 sq inches each
  • left and right faces = 17.5 sq inches each

Add up the sub-areas to get the grand total

60+30+30+17.5+17.5 = 155 square inches is the final answer

This is the amount of paint needed to cover the pyramid, or it's the amount of fabric needed to create the tent.

User SoCal
by
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