Question

A rectangle has a height of 4x4x4, x and a width of 3x+13x+13, x, plus, 1. Express the area of the entire rectangle.

Answer 1

Given:

The rectangle has a height of 4x and the width of $3x+1$

We need to determine the area of the entire rectangle.

Area of the rectangle:

Let us determine the area of the rectangle.

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

$A=length \times width$

Substituting the value length = 4x and width = $3x+1$ in the above formula, we get;

$A=4x(3x+1)$

Let us remove the parenthesis by multiplying the term 4x within the bracket, we have;

$A=12x^2+4x$

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