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

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

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

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x