The perimeter of a rectangle is 30 inches. If it's length is three times it's width, find the dimensions
Lets x is width
3x is length
P = 2(W+L)
30 = 2(x+3x)
30 = 2(4x)
30 = 8x
so x = 30/8 = 3.75
3x = 3(3.75) = 11.25
answer: width = 3.75 inches and length = 11.25 inches
let the width be x.
length = 3width = 3x = 3x.
Perimeter, P = 2(l + w), P = 30 inches.
P = 2(l + w)
30 = 2(3x + x)
30 = 2(4x)
30 = 8x
8x = 30
x = 30/8 = 15/4 = 3.75
Dimensions, w =x = 3.75 inches, length = 3x =3*3.75 = 11.25 inches.
So dimensions of the rectangle is 11.25 inches by 3.75 inches.
Hope this helps.