The length of a rectangle is one more than four times its width. If the perimeter of the rectangle is 62 meters, find the dimensions of the rectangle.

Length = 25 meters

Width = 6 meters

Step-by-step explanation:

62 = 2(a+b)

a = 4b + 1

a = length

b = width

then:

62 = 2((4b+1)+b)

62/2 = 4b+b+1

31 = 5b + 1

31 - 1 = 5b

30 = 5b

b = 30/5

b = 6m

a = 4b + 1

a = 4*6 + 1

a = 24 + 1

a = 25m

Check:

62 = 2(6+25)

62 = 2*31

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

26 is 33.33% of 78

step-by-step explanation:

26 is what percent of 78?

26 is p% of 78

equation: y = p% * x

solving our equation for p

p% = y/x

p% = 26/78

p = 0.3333

convert decimal to percent:

p% = 0.3333 * 100 = 33.33%