Decomposing Rectangles

Select all the true statements about this shape (Hint: Select all means more than one)

• The area can be found by decomposing into rectangles

• The area cannot be found because there are too many measurements

• The area can be found by multiplying 60x30 and subtracting missing pieces

• The area can be found by adding all the side lengths together

What is the area of figure C?

Select all strategies that could be used to find the area of this shape. (Hint: Select all means more than one)

• The area can be found by counting the number of squares that touch the edge of the shape

• The area can be found by adding 5x2, 4x2, and 2x2

• The area of the shape is 22 square units

• The area can be found by counting the number of grid squares inside the shape

Diego said he can find the area of figure B by first multiplying 6x6. What should Diego's next step be?

• adding the area of 1 and 2

• subtracting the area of 1 and 2

• Nothing. His area is 36 square units

• decomposing and rearranging

Subdividing a polygon

• Composing

• Decomposing

• Recomposing

• Becomposing

One way to find the area is to decompose the shape into two rectangles and a triangle.

• True

• False

Another way to find the area is to multiply 45 by 37 and then subtract the area of the missing triangle.

• True

• False

Solve.

• 102 m²

• 39 m²

• 51.2 m

• 81 m²

Mrs. Davis wanted to cover the classroom with new carpet. If the length of the classroom was 12 feet and the width was 8 feet. How much carpet would she need to buy?

• 20 feet

• 40 ft

• 96 square feet

• 40 square feet

What is the area of this figure?

• 52 square centimeters

• 36 centimeters

• 57 square centimeters

• 40 square centimeters