The perimeter of a rectangle is 160cm. The rectangle is 4 times longer then wide . What are the length and width of this rectangle

Length = 64 cm , width =16 cm

Step-by-step explanation:

Given Perimeter = 160

Let width = x

Length = 4x

Hence perimeter =2 (length) +2 ( width)

160 = 2(4x)+2(x)

160 = 8x + 2x

160 = 10x

160/10 =x

16 = x

Hence width = 16 cm

Put the value of x in 4x

Length= 4(16)

Length =64 cm

Hence length = 64 cm, width =16 cm

length is 64 and width is 16

Step-by-step explanation:

all the sides added up would be 10x becuase the lenght is 4 times the width so it would be 4x+x+4x+x which would be 10x

so do 160/10x so x =16

A / (1 +√5) = A (1 - √5) / (1 - 5) = -A (1 - √5) / 4

Multiply numerator and denominator by (1 - √5)