Question

ANSWER ASAP The area of a rectangle depends on its length and width. For the area to remain constant, the length varies inversely to the width and vice versa. If the area is 475, width is w, and length is l, which equation represents this inverse variation?

Answer 1

Area of the rectangle is equal to length times width

In function notation, the Area of the rectangle function is a function in variables l (length) and w(width) as follows:

A(l, w)= l*w

for A=475 we have,

l*w=475

$l= \frac{475}{w}$ or $w= \frac{475}{l}$ , each are equivalent, and each represent the inverse variation.


Answer: $l= \frac{475}{w}$ , $w= \frac{475}{l}$