Squares and Rectangles Area Problems with Missing Length

Harriet wants to know the area of the pink part of this design. Explain how to break this problem into simpler problems.

• The larger rectangle is made of both the pink and white areas.

  The pink area is the area of the larger rectangle minus the area of the white area.

• The larger rectangle is made of both the white and white areas.

  The white area is the area of the larger rectangle minus the area of the pink area.

• The larger rectangle is made of both the white and white areas.

  The pink area is the area of the larger rectangle minus the area of the white area.

• The larger rectangle is made of both the pink and white areas.

  The pink area is the area of the larger rectangle minus the area of the pink area.

Which equations help you find the area of the rectangles in the design.

• Smaller rectangle: 2 x 5

  Larger rectangle: 7 x 5

• Smaller rectangle: 7 x 5

  Larger rectangle: 2 x 2

• Smaller rectangle: 2 x 2

  Larger rectangle: 7 x 5

• Smaller rectangle: 2 x 7

  Larger rectangle: 2 x 5

What is the area of the pink part of the design?

• The area of the pink part of the design is 30 square feet.

• The area of the pink part of the design is 34 square feet.

• The area of the pink part of the design is 39 square feet.

• The area of the pink part of the design is 31 square feet.

Megan says that the figure below has an area of 5 square feet. Is she right?

• No. There are gaps if Megan uses 5 squares. The correct square unit is meters.

• No. There are gaps if Megan uses 5 squares. The correct square unit is feet.

• No. There are gaps if Megan uses 5 squares. The correct square unit is centimeters.

• No. There are gaps if Megan uses 5 squares. The correct square unit is inches.

Bianca has a square. She knows a side length is 4 ft. What is the area of her square?

• 16 square feet

• 12 square feet

• 8 square feet

• 20 square feet

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

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

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.