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 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

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