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Find the area of each shape below. Show any lines that you need on the shape to help you determine the area. Show any calculations that you can make to determine the area. ​

NO LINKSFind the area of each shape below Show any lines that you need on the shape to help you determine the area Show any calculations that you can make to de class=

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Answer:

5.5 units for question 1

8.5 units for question 2

Step-by-step explanation:

Assuming each "square" is equal to 1 unit

Question 1.

We can split this shape into four parts

The uppermost part is equal to [tex]2\frac{1}{2}[/tex] units

The left bottom part is equal to [tex]2[/tex] units

The right bottom part is equal to [tex]1[/tex] unit

The area is:

[tex]2\frac{1}{2} + 2 + 1 = \\5\frac{1}{2}[/tex]

or

[tex]5.5[/tex] units

Question 2.

The part on the far left is equal to [tex]2[/tex] units

The part on the left-center is equal to [tex]3[/tex] units

The part on the right-center is equal to [tex]2.5[/tex] units

The part on the far right is equal to [tex]1[/tex] unit

The area is:

[tex]2 + 3 + 2.5 + 1 = \\8.5[/tex]

[tex]8.5[/tex] units

Ver imagen FleetOfRetribution
Ver imagen FleetOfRetribution
sqdancefan

Answer:

  1. 5.5 square units
  2. 8.5 square units

Step-by-step explanation:

Pick's theorem is useful for figures like this. It tells you the area is ...

  A = i +b/2 -1

where i is the number of interior grid points, b is the number of boundary grid points. The theorem is relevant when all of the vertices are on grid points. In general, you can count the grid points, though that can be a bit tedious and error-prone when the figure is large.

1.

We assume the bottom vertex is intended to be on a grid point. There are 7 boundary points and 3 interior points, so the area is ...

  A = 3 + 7/2 -1 = 11/2 = 5.5 . . . square units

__

2.

There are 13 boundary points and 3 interior points, so the area is ...

  A = 3 +13/2 -1 = 17/2 = 8.5 . . . square units

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