Perimeter & Area

Problem

Cut a rectangle into a grid of cards

A rectangular sheet of paper that is 30 cm wide and 20 cm tall is cut into identical squares that are each 5 cm on a side. Find the total number of identical squares that can be made.
5 cm 5 cm 30 cm 20 cm
GeometryMeasurement & data
Your answer
squares
How to solve
Strategy Identify Subproblems — Split the problem into two subproblems: how many squares fit across the width and how many fit down the height. Divide to find each, then multiply for the total grid count.
1STEP 1

Squares across the width

Divide the 30 cm width by the 5 cm side to get 6 columns of squares.

30 ÷ 5 = 6
2STEP 2

Squares down the height

Divide the 20 cm height by the 5 cm side to get 4 rows of squares.

20 ÷ 5 = 4
3STEP 3

Multiply columns by rows for the total

6 squares in each of 4 rows multiply to 24 squares total.

6 × 4 = 24
Answer
24 squares
30÷5=6, 20÷5=4, 6×4=24
Check — using area: total area 30×20=600 cm², one square's area 5×5=25 cm², and 600÷25=24 squares, matching.
Takeaway

Cutting a rectangle into a grid of equal squares means the total count is columns multiplied by rows.

  • Width 30 cm ÷ 5 cm → 6 columns
  • Height 20 cm ÷ 5 cm → 4 rows
  • 6 × 4 = 24 squares
Where next?
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▶ Practice — 8 problems