Question

The perimeter of a rectangle is 212. The length is 16 more than 5 times the width.

Answer 1

Answer: Length is 15 and width is 91

Step-by-step explanation:

If the length is 16 more than 5 times the width, that means:

let's say

x=length

y=width

2x+2y=212

If the length is 16 more times than 5 times the width, that means

y=5x+16

now we can substitute all y's for 5x+16:

 2x+(5x+16)2=212

=2x+10x+32=212

=12x+32=212

=12x=180

x=15

If the length is 15, the width is

15*2+2y=212

=30+2y=212

=182/2

y=91

Answer 2

Answer:

width 91 length 15

Step-by-step explanation:

2l+2w=212

l=5w+16

2l+2w=212, l=5w+16

substitute

2(5w+16)+2w=212

12w+32=212

12w=180

w=15

L=5w+16

L=5(15)+16

L=91