4.6 - Question 6

Front

What is the formula for calculating the perimeter of a rectangle?

Back

Perimeter = 2 × (length + width)

Front

If a rectangle has a length of 18 cm and a width of 42 cm, what is its perimeter?

Back

Perimeter = 2 × (18 + 42) = 120 cm

Front

What is the area of a rectangle?

Back

Area = length × width

Front

If Rectangle A has dimensions 18 cm × 42 cm, what is its area?

Back

Area = 18 × 42 = 756 cm²

Front

What is the relationship between perimeter and area in rectangles?

Back

Rectangles with the same perimeter can have different areas; the square has the largest area for a given perimeter.

Front

What are the dimensions of a square with a perimeter of 120 cm?

Back

Each side = 120 cm ÷ 4 = 30 cm.

Front

What is the largest area a rectangle can have with a given perimeter?

Back

The largest area occurs when the rectangle is a square.

Front

If Rectangle B has the same perimeter as Rectangle A (120 cm), what are its possible dimensions?

Back

Possible dimensions include 30 cm × 30 cm, among others.

Front

What is the significance of maximizing area in geometry?

Back

Maximizing area is important in design, architecture, and land use.

Front

How do you determine if a rectangle has the largest area for a given perimeter?

Back

Check if the rectangle is a square; if so, it has the largest area.