118k views
2 votes
The perimeter of a rectangle is 212. The length is 16 more than 5 times the width.

2 Answers

2 votes

Answer:

width 91 length 15

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

User Kiryl Ivanou
by
8.5k points
1 vote

Answer: Length is 15 and width is 91

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

User Yerin
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories