Draw an area model to represent 4x^2+12x+9 = (2x+3)^2. Label the length and width of the whole square and label each individual

Question

2 years ago

5

small square and rectangle.

1 answer:

My name is Ann [436] · Answer 1 · 2023-12-07T09:17:55+03:00

See attachment for the area model of the equation 4x^2+12x+9 = (2x+3)^2

<h3>What are area models?</h3>

Area models are shapes used to model or illustrate products, multiplications, divisions and quotients

<h3>How to draw the area model?</h3>

The equation is given as:

4x^2+12x+9 = (2x+3)^2

Express (2x+3)^2 as the product of (2x+3) and (2x+3)

4x^2+12x+9 = (2x+3) * (2x+3)

The above means that the area model is a square.

So, the side lengths of the model must be equal, where the side lengths are 2x + 3 and the area of the square is 4x^2+12x+9

See attachment for the area model of the equation 4x^2+12x+9 = (2x+3)^2