Question

A rectangle has a height of 4 and a width of x2 + 3x + 2.

Answer 1

Question:

A rectangle has a height of 4 and a width of x² + 3x + 2. Express the area of the entire rectangle.

Given:

The height of the rectangle is 4.

The width of the rectangle is $x^2+3x+2$

We need to determine the area of the entire rectangle.

Area of the entire rectangle:

Let us determine the area of the entire rectangle.

The area of the rectangle can be determined using the formula,

$A=height \times width$

Substituting height = 4 and width = $x^2+3x+2$

Thus, we get;

$A=4(x^2+3x+2)$

Multiplying the terms by 4, we get;

$A=4x^2+12x+8$

Thus, the area of the entire rectangle is $4 x^{2}+12 x+8$