SOLUTION: A wooden piece 90 cm long is cut into two pieces of different lengths. The longer piece, a, is used to form a rectangle with width x cm and length y cm, and the shorter piece is us
Algebra ->
Expressions
-> SOLUTION: A wooden piece 90 cm long is cut into two pieces of different lengths. The longer piece, a, is used to form a rectangle with width x cm and length y cm, and the shorter piece is us
Log On
Question 1059552: A wooden piece 90 cm long is cut into two pieces of different lengths. The longer piece, a, is used to form a rectangle with width x cm and length y cm, and the shorter piece is used to form a square with side z cm, such that the rectangle and the square have the same areas. Prove that x+y=a/2, and z=(90-a)/4.
Any help is appreciated! If it is possible, could you draw a diagram? Thanks! Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! The 4 sides of the rectangle, a, are:
---------------------------------
The 4 sides of the square add up to:
------------------------
If the piece of wood was cm long
then
------------------------
Hope this helps
