Understanding Area through Decomposition and Rearrangement

What is the area of a rectangle with dimensions 2 by 5?

• 15 square units

• 8 square units

• 12 square units

• 10 square units

How do you find the area of a square with side length 6?

• 6 minus 6

• 6 divided by 6

• 6 plus 6

• 6 times 6

If a shape is decomposed into a 2x2 square and a 4x6 rectangle, what is the total area?

• 28 square units

• 24 square units

• 30 square units

• 32 square units

What is the area of a rectangle that is 8 by 5?

• 40 square units

• 35 square units

• 45 square units

• 30 square units

How can you verify if two plots of land have the same area?

• By comparing their colors

• By rearranging parts to form a matching shape

• By measuring their perimeters

• By checking their locations

What is the area of a wall that is 80 inches by 40 inches?

• 4000 square inches

• 3200 square inches

• 2400 square inches

• 320 square inches

How many 4-inch tiles are needed to cover the same area as one 8-inch tile?

• 16 tiles

• 4 tiles

• 2 tiles

• 8 tiles

If a 4-inch tile is broken into 2-inch tiles, how many 2-inch tiles are needed to cover the same area?

• 16 tiles

• 4 tiles

• 2 tiles

• 8 tiles

What is the relationship between the number of 2-inch tiles and 8-inch tiles needed to cover the same area?

• 8 times more 2-inch tiles

• 4 times more 2-inch tiles

• 2 times more 2-inch tiles

• 16 times more 2-inch tiles

If a homeowner uses 8-inch tiles, how many fewer tiles will they need compared to using 2-inch tiles?

• 1/16 as many

• 1/2 as many

• 1/4 as many

• 1/8 as many