SOLUTION: The width w of a rectangle is a quarter the size of its length. If the width is increased by 3 units while the length remains constant, find the amount of increase in its area in t

Algebra ->  Length-and-distance -> SOLUTION: The width w of a rectangle is a quarter the size of its length. If the width is increased by 3 units while the length remains constant, find the amount of increase in its area in t      Log On


   

Question 1074729: The width w of a rectangle is a quarter the size of its length. If the width is increased by 3 units while the length remains constant, find the amount of increase in its area in terms of w
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Original Rectangle, dimensions w and 4w
A=w%284w%29
A=4w%5E2

Increased Width Rectangle, width plus 3, dimensions w+3 and 4w
A%5Bi%5D=%28w%2B3%29%2A4w
A%5Bi%5D=4w%5E2%2B12w


AMOUNT OF INCREASE OF AREA
A%5Bi%5D-A
4w%5E2%2B12w-4w%5E2
highlight%2812w%29