Finding Area Counting Squares

Lilly wants to find the area of this piece of glass using gray square tiles. Each tile has the area of 1 square unit. Which models show a way that Lily could find the area of the piece of glass?

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Vince says the area of this shape is 4 square units. Is Vince correct? Choose the best explanation!

• Yes, Vince is correct because I count four gray rectangles, so the area is four square units

• Yes, Vince is correct because he used four squares to fill in his shape, so the area is four square units.

• No, Vince is wrong because he used more than four square units to fill his shape.

• No, Vince is wrong because he used rectangles and not squares to fill his shape.

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

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

Select the statement that is true about all three figures

• The area of the first figure is greater than the others

• The areas are all equal

• The area of the middle figure is the smallest of the three

• We don't have enough information to compare the areas

Jada said that she found the area of figure A by cutting it into 3 rectangles, finding their separate areas, and then adding those areas. Which strategy best describes what Jada did?

• decomposing and rearranging

• decomposing

• enclosing and subtracting

• counting grid squares

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

What is the area of figure C?

Find the area

• 430 in²

• 215 in²

• 41.5 in²

• 1.5 in²

Find the area:

• 13 in²

• 20 in²

• 26 in²

• 40 in²