SOLUTION: The length of a rectangle is 3 times its width. The perimeter of the rectangle is 72 cm. Find the demensions of the rectangle.

Question 713743: The length of a rectangle is 3 times its width. The perimeter of the rectangle is 72 cm. Find the demensions of the rectangle.
Answer by Simnepi(216) (Show Source): You can put this solution on YOUR website!
the perimeter of a rectangle is found by adding the lengths of all the sides.
draw a rectangle!
Let us call the width of the rectangle x.
because the length is 3 times the width, the length is 3x.
adding the lengths of the sides of the rectangle to find the perimeter gives us
x + 3x + x + 3x
simplifying this gives
8x
since the perimeter is 72 cm then
8x = 72 cm
dividing both side by 8 gives
x = 9cm
so the width of the rectangle is 9 cm
and, because the length is 3 times the width, the length is 27 cm.
so the rectangle's dimensions are
27 cm by 9 cm.
RELATED QUESTIONS
the length of a rectangle is 3 times its width. the perimeter of the rectangle is 72 (answered by checkley79)

the length of a rectangle is 10 centimeters less than twice its width. The perimeter of... (answered by ReadingBoosters)

The perimeter of a rectangle is 36 meters. If the width is 3 times the length, find the... (answered by ad_alta)

The length of a rectangle is five times its width. if the perimeter of the rectangle is... (answered by nerdybill)

the length of a rectangle is 5 cm more that twice the width. the perimeter of the... (answered by checkley77)

The length of a rectangle is 3 less than 5 times the width. the perimeter is 10 times the (answered by josgarithmetic,MathTherapy,ikleyn,greenestamps)

the perimeter of a rectangle is 156 if the width is 20% the length find the demensions of (answered by ewatrrr)

The length of a rectangle is 3 times its width. If the perimeter of the rectangle is 32... (answered by shweta)

The length of a rectangle is 7 centimeters less than twice its width.The perimeter of the (answered by mathitutor)