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In square millimeters, what is the area of the figure above? Round answer to tenth. Just write the number.

In square millimeters, what is the area of the figure above? Round answer to tenth-example-1

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Answer:

72.3sqmm

Explanation:

To solve this you need to split the arrow into two shapes. One rectangle and one triangle. First you want to solve the area of the rectangle or the triangle and then vice versa. When you get the area for both add them together, and then round to the nearest tenth.

  • Rectangle Area: 4 * 12.4 = 49.6sqmm

Since the height of the triangle is currently unknown we must take the total length of the arrow and subtract it by the rectangle's portion of the length, and then that will give us the height of the triangle. After that we take the height, multiply it by the base of 8.4, and finally divide it by 2.

  • Triangle Height:, 17.8 - 12.4 = 5.4mm
  • Triangle Area: 8.4 * 5.4 = 45.36 | 45.36/2 = 22.68sqmm

Now that we have both areas we simply add both, and the round.

  • Total Area: 49.6 + 22.68 = 72.28 ≈ 72.3mm
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