Understanding Areas and Ratios in Geometry

What is the initial ratio of the area of the square to the area of the rectangle?

• 2 to 5

• 3 to 4

• 5 to 2

• 1 to 3

What letters are used to label the unshaded parts of the square and rectangle?

• X and Z

• A and B

• P and Q

• M and N

If the side of the square is 6 cm, what is its area?

• 48 cm²

• 42 cm²

• 36 cm²

• 30 cm²

How many units represent the area of the rectangle?

• 5 units

• 4 units

• 6 units

• 3 units

What is the area of the rectangle if one unit is 18 cm²?

• 126 cm²

• 108 cm²

• 90 cm²

• 72 cm²

In the model, what does the letter Y represent?

• Unshaded part of the square

• Total area of the square

• Unshaded part of the rectangle

• Shaded part of the figure

How many 'us' units are there in the unshaded part of the rectangle?

• 4 us

• 2 us

• 1 us

• 3 us

What is the difference in area between the rectangle and the square?

• 36 cm²

• 63 cm²

• 45 cm²

• 54 cm²

How do you calculate the area of the shaded part?

• Subtract the area of the unshaded part from the square

• Multiply the areas of the square and rectangle

• Add the areas of the square and rectangle

• Subtract the area of the unshaded part from the rectangle

What is the final area of the shaded part?

• 15 cm²

• 12 cm²

• 9 cm²

• 6 cm²