Envision Topic 1 Basic Geometry

Find the area.

• 24 square inches

• 46 square inches

• 28 square inches

• 49 square inches

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.

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.

Danisha drew this rectangle with an area of 56 square feet. She labeled one side as 8 feet, but she forgot to label the other one. What should she label the unknown side?

• 6 feet

• 7 feet

• 8 feet

• 7 square feet

A straight path with no beginning or end is a...

• ray

• line

• plane

• angle

Find the area.

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

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.