Area, Perimeter & Distributive Property

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter (P) of a rectangle is given by the formula P = 2(length + width).

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication to each addend.

Front

Calculate the perimeter of a rectangle with length 3x and width 2x.

Back

P = 2(3x + 2x) = 10x.

Front

What is the area of a rectangle?

Back

The area (A) of a rectangle is calculated using the formula A = length × width.

Front

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

Back

A = 5 × 3 = 15.

Front

What is the formula for the area of a triangle?

Back

The area (A) of a triangle is given by the formula A = 1/2 × base × height.

Front

Find the area of a triangle with a base of 4x and a height of 3x.

Back

A = 1/2 × 4x × 3x = 6x^2.

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(2x - 3).

Back

4(2x - 3) = 8x - 12.

Front

What is the perimeter of a square with side length x?

Back

The perimeter (P) of a square is P = 4 × side length = 4x.