a rectangle has the height of 2 and a width of 5x^2-2x+3. express the area of the entire triangle. expression should be expanded

The question is not correctly written.

Correct question:

A rectangle has the height of 2 and a width of 5x²-2x+3. Express the area of the entire rectangle. The expression should be expanded.

Answer:

Expanded expression of the area of the rectangle = 10x² - 4x + 6 square units

Step-by-step explanation:

Formula to find the area of a rectangle is given as

Area of a rectangle = Length * Width

In the question we were given:

Length (also known as height) = 2

Width = 5x²-2x + 3

We would use the distributive property of an algebraic equation to find the expression of the area of the rectangle.

Distributive property = (a (b+c) = ab + ac)

Area of the rectangle = 2 * (5x² - 2x + 3)

= 2 * 5x² - 2 * 2x + 2*3

= 10x² - 4x + 6 square units

We were asked to expand the expression.

The expansion of the expression of the Area of the rectangle

= 10x² - 4x + 6 square units