if the perimeter of a desk is 10ft.but it is twice as long as it is wide. how would i solve this?
Let's say Width = x
then Lenght = 2x
Perimeter is equal to all sides added together width + length + width + lenght or
x + 2x + x + 2x = perimeter (which the problem says is 10)
so
x + 2x + x + 2x = 10 Simplifying:
6x = 10
x = 10/6 = 1 4/6 = 1 2/3 ft = width Length = 2x = 3 1/3
Here’s another way
Call the long side X and the short side Y.
The parameter is
2X + 2Y = P
Also
Y=0.5X
So
2X + 2(0.5x) =10
3X = 10
X=3+1/3
Long side is 3+1/3 feet
Short side is 1+2/3 feet
Check
(2*(1+2/3))+2(3+1/3) =10 Feet