Problema Solution

The perimeter of a rectangle is 36ft. The length is 2 ft longer than the width. Find the dimensions. Write a system of linear equations and salve the resulting system. let x be the length and y be the with.

write the first equation: 2x+2y=

write the second equation: x=y+

What is the length?

What is the width?

Answer provided by our tutors

Let x = width y= length or x+2=length

 

2x + 2(x+2) =36

y=x+2  

y-2=x+2-2

y-2= x  or x = y + (-2)

 

2x + 2x + 4 = 36

4x +4 =36

4x+4-4 = 36-4

4x=32

4x/4 = 32/4

x= 8

 

length--x+2 

           8+2 =10 feet

width 8 feet