Gallery Problems Exercise

Garden Beds

Work Time

Garden Beds

A garden nursery sells square tiles for making borders around groups of plants (planting beds). The border tiles go only on the outside of all the plants—no tiles go between the plants. In the diagram, the square tiles are represented by tan squares and each plant is represented by 1 green square.

  1. How many square tiles are needed for 1 row of 100 plants?
  2. Write an algebraic expression that represents the number of square tiles needed for any number of plants planted in a single row.
  3. Find how many square tiles are needed for the following planting beds:
    • 2 rows of 50 plants
    • 4 rows of 25 plants
    • 5 rows of 20 plants
    • 10 rows of 10 plants
  4. Use a double number line or look at the relationship between the number of plants and the number of square tiles.