The perimeter of a rectangle is 50 cm and the length is 4 cm longer than the width. Write and solve the system of equations using the substitution method.
A. width = 10 cm, length= 14 cm
B. width = 10 1/2 cm, length= 14 1/2 cm
C. width = 11 cm, length= 15 cm
D. width = 23 cm, length= 27 cm

Question

The perimeter of a rectangle is 50 cm and the length is 4 cm longer than the width. Write and solve the system of equations using the substitution method.
	A.	width = 10 cm, length= 14 cm
	B.	width = 10 1/2 cm, length= 14 1/2 cm
	C.	width = 11 cm, length= 15 cm
	D.	width = 23 cm, length= 27 cm

anonymous · Answer

There are four sides, so to find the perimeter we just add them all up
perimeter=length+length+width+width

anonymous · Answer

we can simplify this expression by using multiplication because 
width+width=2×width and length+length=2×length
so the perimeter equation looks like this
perimeter=2×length+2×width
this problem gives us two pieces of information that we can insert into out equation for perimeter
The perimeter = 50
and that the length is 4 more than the width so we can write the length like this
length=width+4
we can substitute both of these pieces of information into the equation for perimeter
perimeter=2×length+2×width

anonymous · Answer

to get:
50=2×(width+4)+2×width
 By substituting length with width + 4 we reduced the equation to a single variabale which we can solve.

anonymous · Answer

can u handle it from here

anonymous · Answer

i dont even get it or anything you just said

stamp · Answer

@brittanyburton Use the "Draw" button to illustrate for us the situation at hand. Label as much information that has been given to you as you possibly can.

anonymous · Answer

thats all the info...lol word 4 word