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What is the area of the following figure? 50 points and brainly if correct

What Is The Area Of The Following Figure 50 Points And Brainly If Correct class=

Sagot :

Answer:

  • 810 in²

Solution:

I would first divide the figure into shapes. Then I will find the area of those shapes or, I can further simplify the shape but dividing it into some other shape. Lastly, I will add those areas to get the area of the figure.

Step-1: Divide the figure into shapes that you can find the area.

  • => I have divided the shape in two shapes. (Triangle and Square)

Step-2: Find the area of the triangle.

  • => Area of triangle = 1/2 x base x altitude
  • => Area of triangle = 1/2 x 36 x 27
  • => Area of triangle = 18 x 27
  • => Area of triangle = 486 in²

Step-3: Find the area of the square.

  • => Area of square = s²
  • => Area of square = 18²
  • => Area of square = 324 in²

Step-4: Add the areas to obtain the areas of the shape.

  • => Area of shape = Area of triangle + Area of square
  • => Area of shape = 486 + 324
  • => Area of shape = 810 in²

Hence, the area of the figure is 810 in².

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