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Partition Rectangles

Grade 2 · Geometry · Worksheet 1

  1. Noah is setting up chairs for the school concert. He arranges them in a rectangular pattern with 9 rows and 7 chairs in each row. How many chairs does Noah set up in total?
    Answer: ______________
  2. A rectangle is divided into 7 rows and 9 columns of equal squares. How many squares are there? Answer: ______________
  3. Tane is looking at a rectangular window that is divided into equal small square panes. The window has 9 rows of panes, and each row has 12 panes. How many small square panes are in the whole window?
    Answer: ______________
  4. Aroha's rectangle is divided into 9 rows and 14 columns of equal squares. How many squares are there? Answer: ______________
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Answer Key & Explanations

Partition Rectangles · Grade 2 · Worksheet 1

  1. Noah is setting up chairs for the school concert. He arranges them in a rectangular pattern with 9 rows and 7 chairs in each row. How many chairs does Noah set up in total? Answer: 63 Solution: Noah has 9 rows of chairs. Each row has 7 chairs. To find the total number of chairs, multiply the number of rows by the number of chairs in each row: 9 × 7.
    Full step-by-step solution

    Step 1: Noah has 9 rows of chairs. Step 2: Each row has 7 chairs. Step 3: To find the total number of chairs, multiply the number of rows by the number of chairs in each row: 9 × 7. Step 4: 9 × 7 = 63. The answer is 63.

  2. A rectangle is divided into 7 rows and 9 columns of equal squares. How many squares are there? Answer: 63 Solution: The rectangle has 7 rows of squares. Each row has 9 squares. To find the total number of squares, multiply the number of rows by the number of squares in each row: 7 × 9 7 × 9 = 63 The answer is 63.
    Full step-by-step solution

    Step 1: The rectangle has 7 rows of squares. Step 2: Each row has 9 squares. Step 3: To find the total number of squares, multiply the number of rows by the number of squares in each row: 7 × 9 Step 4: 7 × 9 = 63 The answer is 63.

  3. Tane is looking at a rectangular window that is divided into equal small square panes. The window has 9 rows of panes, and each row has 12 panes. How many small square panes are in the whole window? Answer: 108 Solution: The window has 9 rows of panes. Each row has 12 panes. To find the total number of panes, add 12 nine times: 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12.
    Full step-by-step solution

    Step 1: The window has 9 rows of panes. Step 2: Each row has 12 panes. Step 3: To find the total number of panes, add 12 nine times: 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12. Step 4: Add step by step: 12 + 12 = 24, 24 + 12 = 36, 36 + 12 = 48, 48 + 12 = 60, 60 + 12 = 72, 72 + 12 = 84, 84 + 12 = 96, 96 + 12 = 108. Step 5: You can also think of it as 9 groups of 12. Since 9 x 12 = 108, the total is 108. The answer is 108.

  4. Aroha's rectangle is divided into 9 rows and 14 columns of equal squares. How many squares are there? Answer: 126 Solution: The rectangle has 9 rows of squares. Each row has 14 squares. To find the total number of squares, multiply the number of rows by the number of squares in each row: 9 × 14.
    Full step-by-step solution

    Step 1: The rectangle has 9 rows of squares. Step 2: Each row has 14 squares. Step 3: To find the total number of squares, multiply the number of rows by the number of squares in each row: 9 × 14. Step 4: Break 14 into 10 and 4: 9 × 10 = 90, and 9 × 4 = 36. Step 5: Add the two parts: 90 + 36 = 126. Step 6: There are 126 squares in total. The answer is 126.