Question

a rectangle has a height of 4x and a width of 3x + 1. express the area of the entire rectangle. expression should be expanded.

Explanation:

Step1: Recall area formula

$A = \text{height}\times\text{width}$

Step2: Substitute given values

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

Step3: Apply distributive property

$A = 4x\times3x+4x\times1$

Step4: Simplify each term

$A = 12x^{2}+4x$

Answer:

$12x^{2}+4x$