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In gym class, the students are going to design and build obstacles for an upcoming field day. Before they can start building, each student has to submit a two-dimensional scale drawing of the obstacle they want to build. Barbara's drawing of her obstacle is shown below.




Note: Figure not drawn to scale.


In Barbara's drawing, the obstacle has a total area of______ square feet.

This obstacle will have a width of 4 feet. The volume of the obstacle is____cubic feet.

In gym class the students are going to design and build obstacles for an upcoming field day Before they can start building each student has to submit a twodimen class=

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MrRoyal

The obstacle has a total area of 69 square feet and a volume of 276 cubic feet.

The total area of the obstacle

To determine the total area, we calculate and add up the area of each shape.

The shapes in the figure are:

  • Triangle: Base = 1, Height = 6
  • Triangle: Base = 5, Height = 8
  • Square: Length = 2
  • Rectangle: Length = 7; Width = 6

Using the area formula of each shape, the total area is:

Total = 0.5 * 1 * 6 + 0.5 * 5 * 8 + 2 * 2 + 7 * 6

Evaluate

Total = 69

Hence, the obstacle has a total area of 69 square feet.

The volume of the obstacle

This is calculated as:

Volume = Base area * Height

The height is 4.

So, we have:

Volume = 69 * 4

Evaluate

Volume = 276

Hence, the obstacle has a volume of 276 cubic feet.

Read more about area and volume at:

https://brainly.com/question/13175744

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