Area With Unit Squares

Which expression can be used to find the area of the rectangle?

• 4+5

• 4x5

• 4+6

• 4x6

The figure shown is made of unit squares. Choose True or False for each statement.

The area of the shaded part is equivalent to 8 × 8.

• true

• false

A figure made of three shapes is shown, with measurements given in feet (ft). Which expression can be used to find the area of the entire figure?

• (3x5) + (4x6) + (6x5)

• (3x5) + (4x9) + (6x6)

• (3x5) + (4x9) + (6x10)

• (3x5) + (4x10) + (6x10)

John draws this rectangle. Which explanations are correct to find the area?

• John should add 5 + 4. His area is 9 in.

• John can draw in 5 rows and 4 columns. He can count all the squares. His area is 20 square inches.

• John can break the shape into 2 parts. He can do (3x2) + (4x2) and find the area of 14 square in.

• John can do 5 x 4 because a rectangle is an array. He can multiply length times width because it is another way to say rows times columns. His area is 20 square inches.

Look at this shape. Choose if it is an exact or estimated area. Tell the area.

• exact, 14 square units

• estimate, 10 square unites

• exact, 12 square units

• estimate, 12 square units

Choose ALL the ways to break apart the area of the large rectangle into the sum of the areas of the two smaller rectangles.

• 7 x 8 is the same as 7 x (5+3) which can be written as (7x5) + (7x3).

• 7 x 8 is the same as 7 x (4+4) which can be written as (7x4) + (7x4).

• 7 x 8 is the same as 7 x (7+8) which can be written as (7x7) + (7x8)

• 7 x 8 is the same as 7 x (3+4) which can be written as (7x3) + (7x4).

Kimmy says this shape has an area of 14 square feet. Do you agree? Explain.

• I agree because I counted 14 squares on the picture.

• I disagree because I counted 4 complete squares, so the area is 4. She also does not know the label is feet. It should be units.

• I disagree because I counted 4 complete middle sqaures, almost 4 complete squares in the second and fifth column, and 4 half squares in the first and sixth column. I put those together to make 2 squares. 4 + 4+ 2 = 10 square units. Square feet is also the incorrect label.

• I disagree becausre her area is 12 square units because there is a part of the red circle in 12 squares.

Use the distributive property to write the equation that represents the picture.

Find the area.

• 24 square inches

• 46 square inches

• 28 square inches

• 49 square inches

Tony has a square garden. One of the sides is 7 yards long. What is the area of his garden?

• 14 square yds

• 28 square yds

• 49 square yds

• I don't have enough information to find the area of this shape.