Envision Geometry

Which of these shows how to find the area of the blue shape?

• Multiply, 8 x 5 = 40. The blue area is 40 sq cm.

• Multiply, 8 x 5 = 40 for the entire space. Then, multiply 2 x 3 = 6 to find the white rectangle. Add the white area, 6 sq cm, to the entire outside space area of 40 sq cm. The answer is 46 square cm.

• Multiply, 8 x 5 = 40 for the entire space. Then, multiply 2 x 3 = 6 to find the white rectangle. Subtract the white area, 6 sq cm, from the entire outside space area of 40 sq cm. The answer is 34 square cm.

Look at this shape. Would you find the exact or estimated area?

• exact

• estimate

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

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.

Tell the length of the missing side. Then find the area.

• side = 10 cm, area = 70 square cm

• side = 5 cm, area = 70 square cm

• side = 15 cm, area = 50 square cm

• side = 10 cm, area = 50 square cm

How would you find the area of this shape?

• Count the outside squares.

• Count the columns.

• Count the rows.

• Count the squares.

What is the missing side length AND area?

• 1cm, 20 sq. cm

• 2 cm, 26 sq. cm

• 4 cm, 26 sq. cm