Area and Perimeter with Algebraic Expressions

Front

What is the formula for the perimeter of a rectangle?

Back

Perimeter = 2(length + width)

Front

If the length of a rectangle is twice its width, how can you express the length in terms of the width?

Back

Length = 2 * Width

Front

What is the perimeter of a rectangle with a length of 42 cm and a width of 21 cm?

Back

Perimeter = 2(42 + 21) = 126 cm

Front

What is the formula for the area of a rectangle?

Back

Area = length × width

Front

If the width of a rectangle is 21 cm and the length is 42 cm, what is the area?

Back

Area = 42 cm × 21 cm = 882 cm²

Front

What does it mean for an expression to be in simplest form?

Back

An expression is in simplest form when it is reduced to its lowest terms and no further simplification is possible.

Front

How do you combine like terms in algebraic expressions?

Back

Combine like terms by adding or subtracting the coefficients of terms that have the same variable.

Front

What is the perimeter of a polygon with sides represented by the expression 7x + 11?

Back

The perimeter is represented by the expression itself: 7x + 11.

Front

What is the difference between perimeter and area?

Back

Perimeter is the total distance around a shape, while area is the amount of space inside a shape.

Front

If a shape has a perimeter of 12 cm, what could be the possible dimensions?

Back

Possible dimensions could be any combination of length and width that adds up to 6 cm each (e.g., 3 cm x 3 cm).