SOLUTION: The area of this rug is 80 sq. units. Find its length and width. https://drive.google.com/file/d/1vM0P-0OyUTw2oF6sw81114-JqO0OaHKN/view?usp=sharing (image)

Algebra ->  Triangles -> SOLUTION: The area of this rug is 80 sq. units. Find its length and width. https://drive.google.com/file/d/1vM0P-0OyUTw2oF6sw81114-JqO0OaHKN/view?usp=sharing (image)      Log On


   

Question 1200713: The area of this rug is 80 sq. units. Find its length and width.
https://drive.google.com/file/d/1vM0P-0OyUTw2oF6sw81114-JqO0OaHKN/view?usp=sharing
(image)
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

The area of this rug is the product of its dimensions


    (x+8)*(x-8) = x^2 - 64  square units.    


To find the dimensions, equate that expression to 80

    x^2 -64 = 80.


It gives

    x^2 = 80 + 64 = 144.


Then  x = sqrt%28144%29 = 12  units.


Thus the dimensions are  (x+8) = 12+8 = 20 units  and  (x-8) = 12-8 = 4 units.     ANSWER


CHECK.  20*4 = 80,  the area.  ! correct !

Solved, with complete explanations.