Question

A rectangle has a height of 3x and a width of 2X -3 express the area of entire rectangle expression should be expanded

Answer 1

Answer:

Area =( 6x² - 9x) unit²

Step-by-step explanation:

Height = 3x

Width = 2x - 3

Area of rectangle = length × width

= height × width

Therefore

Area = 3x ( 2x - 3)

Open the bracket using 3x to multiply

(3x × 2x ) -( 3x × 3)

Area =( 6x² - 9x) unit²

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Answer 2

Answer:

6$x^{2}$-9x

Step-by-step explanation:

1. The area of each smaller rectangle is the product of its height and its width.

Once we find the areas of all the smaller rectangles, we can add them up to get an expression for the entire area.

2. The area of the first rectangle is 3x⋅2x=6$x^{2}$

In a similar way, we find that the area of the other rectangle is -9x.

3. The area of the entire rectangle is the sum of those areas:

6$x^{2}$ - 9x