Question

6. The perimeter of a parallelogram is 100 meters. The width of the parallelogram is 4 meters less than its length. Find the length and width of the parallelogram.​

Answer 1

x = 23, and y = 27.

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.