Help on algebra word problem plz?
A wire 48 centimeters long is cut into two pieces. Each piece is bent to form a square. Where should the wire be cut so that the sum of the areas of the squares is equal to 80 square centimeters?
- 9 years agoFavorite Answer
Two pieces will equal 16 and 32 centimeters long
16/4 = 4 centimeters each side perimeter
4*4 = 16 square centimeters area
32/4 = 8 centimeters each side perimeter
8*8 = 64 square centimeters area
- Anonymous9 years ago
It should be cut into pieces 16 cm long and 32 cm long. The area of the square with the 16cm perimeter would be 16.[(16/4)^2]. The area of the square with the 32cm perimeter would be 64. [(32/4)^2].
Admittedly I just used the guess and check method. Sorry I couldn't give you a formula or anything.
- SumDudeLv 79 years ago
32 & 16Source(s): lucky guess - now you figure out the formula from the answer
- nhijLv 49 years ago
I think you start with
x^2 + y^2 = 80
4x + 4y = 48
Does this help get you started?