SOLUTION: the width of a rectangle is one fourth its length. the perimeter is 60 cm

Question 516754: the width of a rectangle is one fourth its length. the perimeter is 60 cm
Found 2 solutions by mananth, oberobic:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
width 1/4 of length
it means length = 4 times width
x = width
2(4x+x)=60
2(5x)=60
10x=60
x=6
4x=24
6 & 24 are the dimensions
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
Perimeter = 2(L+W) =60
.
W = 1/4*L
.
substitute
.
2(L+W) = 60
2L +2(1/4*L) = 60
2L + 1/2L = 60
.
multiply by 2 to cancel the fraction
.
4L + L = 120
5L = 24
.
W = 1/4*24 = 6
.
check the perimeter
P = 2(24+6) = 2(30) = 60
.
Answer: Length = 24, Width = 6
.
Done.
RELATED QUESTIONS
the width of the rectangle is one-fourth of its length. if the perimeter is 40 cm. find... (answered by Mathtut)
THE LENGTH OF A RECTANGLE IS 12 CM GREATER THAN ITS WIDTH. IF THE PERIMETER OF THE... (answered by josgarithmetic)
the length of a rectangle is 12 cm greater than its width, the perimeter of this... (answered by Cromlix)
the width of a rectangle is one half its length. The perimeter of the rectangle is 54 cm. (answered by checkley77)
The length of a rectangle is four times its width. If the perimeter of the rectangle is (answered by bhabheeta)
The width of a rectangle is 3 meters more than one fourth its length. The perimeter is 26 (answered by askme)
The width of a rectangle is one half its length. The perimeter is 54 cm. What is the... (answered by Earlsdon)
The width of a rectangular is one half its length. The perimeter of the rectangle is 54... (answered by doukungfoo)
A rectangle is twice as long as it is wide. Its perimeter (the sum of the lengths of its... (answered by josmiceli,ikleyn)