Geometry | Unit 5 | Lesson 4: Scaling and Area | Practice Problems

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated using the formula: Area = length × width.

Front

How does dilation affect the area of a shape?

Back

When a shape is dilated by a scale factor k, the area of the shape is multiplied by k².

Front

If a rectangle has an area of 12 square units and is dilated by a scale factor of 2, what is the area of the dilated rectangle?

Back

The area of the dilated rectangle is 48 square units (12 × 2² = 48).

Front

What is a scale factor in the context of dilation?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a shape during dilation.

Front

If a quadrilateral is dilated with a scale factor of \\frac{3}{4}, how does this affect its area?

Back

The area of the quadrilateral will be multiplied by \\left(\\frac{3}{4}\\right)^{2} = \\frac{9}{16}.

Front

What is the area of a rectangle with an area of 12 square units when dilated by a scale factor of 5?

Back

The area of the dilated rectangle is 300 square units (12 × 5² = 300).

Front

What is the relationship between the scale factor and the area of a shape after dilation?

Back

The area of the shape after dilation is equal to the original area multiplied by the square of the scale factor.

Front

How do you estimate the scale factor from a dilated shape?

Back

To estimate the scale factor, compare the dimensions of the original shape to the dimensions of the dilated shape.

Front

What is the scale factor if a trapezoid is dilated to three times its original size?

Back

The scale factor is 3.

Front

What happens to the dimensions of a shape when it is dilated by a scale factor less than 1?

Back

The dimensions of the shape decrease, making the shape smaller.