Question

what is the length of a rectangle with an area of (4x²+12x) square units if the width is 4x units?​

Answer 1

Area :-

Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane. Surface area is its analog on the two-dimensional surface of a three-dimensional object.

given,

Area =(4x²+12x)

Width = 4x

Area=length*breadth

(4x^2+12x)=length*4x

length=(4x^2+12x)/4x

length =x+3

Hence, the answer is  length =x+3 .

Answer 2

Answer:

The length of the rectangle is $x+3$

Step-by-step explanation:

Given:

Area of rectangle $(4x^2+12x)$

Width of rectangle $4x$

We need to find the length of the rectangle.

The area of the rectangle is the product of length and width so by substituting the values we get:

$A=l*w\\\\(4x^2+12x)=4x.l\\\\l=\frac{4x^2+12x}{4x}\\\\ l=\frac{4x^2}{4x}+\frac{12x}{4x}\\\\l=x+3$