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What is the area of the figure, in m2 , shown below?.

What is the area of the figure, in m2 , shown below?.-example-1
User Solivan
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2 Answers

20 votes
20 votes
The area would be 22 meters squared
User Hellodan
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22 votes
22 votes

Answer:

The area of this figure is 22 meters squared

Explanation:

Two shapes exist on this figure: a rectangle and a triangle. We must first find the area of the rectangle and add that area to the area of the triangle. So first, let's solve the rectangle.

As the area of a rectangle is length multiplied by width, we have 8 * 1 = area, or 8 meters squared. Now we save the value of 8 to add to the area of the triangle. So let's now figure out the area of the triangle.

As the area of a triangle is A = (HB)/(2), or that triangles height multiplied by its base, and dividing that whole number by 2, we can substitute numbers into this equation. This means we take 3.5, the height of the triangle, and multiply that number by 8, the base of the triangle, to get a value of 28. We then divide 28 by 2 to satisfy the equation A = (HB)/(2), and we get the value of 14.

Because of this, we add 8, the area of the rectangle, and 14, the value of the triangle to get a total value of 22. Now let's not forget to add meters squared as the unit of measurement as stated in the question.

This means that the total area of this figure is 22 meters squared.

User HighFlyer
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