The area of a rectangle is given by a=6x^2y+4y^2x and the width of the rectangle is w=2xy. what is the length, l, of the rectangle if l=a/w

Question

asked Aug 7, 2023 20.9k views

1 Answer

Zam Abdul Vahid · Answer 1 · 2023-08-11T22:30:45+0000

Step 1

Given; The area of a rectangle is given by a=6x^2y+4y^2x and the width of the rectangle is w=2xy. what is the length, l, of the rectangle if l=a/w?

Step 2

$\begin{gathered} l=(a)/(w) \\ l=(6x^2y+4y^2x)/(2xy) \end{gathered}$
$\begin{gathered} factorize \\ l=(2xy\left(3x+2y\right))/(2xy) \end{gathered}$

Thus;

Answer;