The length and width of a rectangle are in a 3 : 5 ratio. The perimeter of the rectangle is 64. What are the length and width of the rectangle?

Step-by-step explanation:

Rectangle:

Length : Width = 3 : 5

Length = 3x

Width = 5x

Perimeter = 64

2*(length + width) = 64

2*(3x + 5x) = 64           {Add like terms}

2 * 8x = 64                                

  16x = 64        {Divide both sides by 16}

      x = 64/16

      x = 4

Length = 3*4 = 12 units

Width = 5*4 = 20 units

Step-by-step explanation:

solution;

here

let us suppose the ratios of length and width of rectangle be 3x and 5x

if the perimeter of rectangle is 64

we know that,

perimeter of rectangle=2 (l + w)

or,    64=2(3x +5x)

or,     64=2(8x)

or,     64=16x

or,      x=4

therefore length=3x

                      3*4=12

                 width=5x

                     5*4=20

answer:   (s+1)(s+4)

step-by-step explanation:

factor s2+5s+4

s2+5s+4

=(s+1)(s+4)