Answer:
x = 23, and y = 27.
Step-by-step explanation:
Lets say,
x = width
y = length
this means,
x(2) + y(2) = 100
It also says that the width is 4 meters less than the length.
if we put that into equation form it would look like this,
y - 4 = x
using these 2 equations, we can use the subustusion method to find the x.
x(2) + y(2) = 100
turns in to this :
step 1. (y - 4) (2) + y(2) = 100 - given
step 2. 2y -8 + 2y = 100 - distribute
step 3. 4y -8 = 100 - Combine like terms
step 4. 4y = 108 - Get rid of the 8
step 5 4y/4 = 108 /4 - divide
step 6 . y = 27
So if y is 27, then
x(2) + 27(2) = 100
x(2) + 54 = 100
100 - 54 = 46, so x(2) is 46, but to get x, we need to divide 46 by 2, since x multiplied by 2 equals 46.
46 / 2 = 23 = x
so x = 23, and y = 27.
and the rule that y - 4 = x still applies, since 27 - 4 = 23.
I hope this wasn't confusing! It did take a long time tho.
