Area of Irregular polygons (Missing/Shaded Regions)

Area of

Irregular polygons

(Missing/Shaded Regions)

_{I can decompose irregular polygons into quadrilaterals and triangles to find their area.}

Multiple Choice

What is the area of the figure?

• 10

• 2

• 24

• 30

Multiple Choice

A corner of the rectangle has been removed. What operation do we use to "remove" something?

• Adding

• Subtracting

• Multiplying

• Dividing

Multiple Choice

What shape is the corner that has been removed?

• A square

• A rectangle

• A triangle

• A paralellogram

Multiple Choice

What is the area of the figure, now that a square corner has been removed?

• 16

• 22

• 24

• 20

Multiple Choice

Look at the figure now. A rectangle has been removed this time. What would be the area of that little rectangle had it not been removed?

• 8

• 10

• 6

• 12

Multiple Choice

What is the area of rectangle, now that it has a smaller rectangle subtracted from it?

• 16

• 18

• 20

• 24

Multiple Choice

Take a look at this figure. What is the missing side length highlighted in yellow?

• This side is ↕️ so I look across and parallel to the other ↕️ sides, which are 6 and 10.

  
  

  10 - 6 = 4. The missing side length is 4.

• This side is ↔️ so I look across and parallel to the other ↔️ sides, which are 8 and 5.

  
  

  8 - 5 = 3. The missing side length is 3.

Multiple Choice

How about the other missing side?

What is the new missing side length highlighted in yellow?

• This side is ↕️ so I look across and parallel to the other ↕️ sides, which are 6 and 10.

  
  

  10 - 6 = 4. The missing side length is 4.

• This side is ↔️ so I look across and parallel to the other ↔️ sides, which are 8 and 5.

  
  

  8 - 5 = 3. The missing side length is 3.

Multiple Choice

The missing sides to the "removed" corner are 3in and 4in. What would the area of that highlighted corner have been?

• 12

• 1

• 8

• 16

Multiple Choice

What would the area of the shape have been, if the corner was not removed?

• 60

• 40

• 20

• 80

Multiple Choice

If the missing total area was 80, and the missing portion was 12, what is the area of the remaining shape?

• 58

• 68

• 78

• 80

Multiple Choice

How would you find the area of the shaded region?

• Subtract the area of the sandbox from the area of the yard.

• Subtract the area of the yard from the area of the sandbox.

• Add the areas of the sandbox and the yard together.

Multiple Choice

What is the area of the shaded region?

(15)(20) = 300

(6)(7) = 42

• 12,600

• 342

• 258

Multiple Choice

What is the area of the shaded region?

• 171

• 900

• 729

• 1629

Multiple Choice

What is the area of this shaded region?

Be careful! Remember there are TWO windows to subtract.

• 128

• 108

• 88

• 148

• 168

Fill in the Blanks