Area and Perimeter Expressions

Front

What is the formula for the area of a rectangle?

Back

Area = length × width

Front

What is the formula for the perimeter of a rectangle?

Back

Perimeter = 2(length + width)

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables.

Front

Simplify the expression: 4(6x + 3)

Back

24x + 12

Front

If the length of a rectangle is 3x and the width is 2x, what is the area?

Back

Area = 3x × 2x = 6x²

Front

If the length of a rectangle is 5 and the width is 3, what is the perimeter?

Back

Perimeter = 2(5 + 3) = 16

Front

What is the equivalent expression for 7x - 14?

Back

7(x - 2)

Front

If the perimeter of a rectangle is 20 and the length is 6, what is the width?

Back

Width = (Perimeter/2) - Length = (20/2) - 6 = 4

Front

What is the area of a rectangle with length 4x and width 2x?

Back

Area = 4x × 2x = 8x²

Front

How do you find the perimeter of a rectangle given its area?

Back

You need the length and width to calculate the perimeter.