SOLUTION: the length of a rectangle is 6 times the width. the area is 864 square centimeters. what is the length and width of the rectangle

Algebra ->  Rectangles -> SOLUTION: the length of a rectangle is 6 times the width. the area is 864 square centimeters. what is the length and width of the rectangle      Log On


   



Question 948416: the length of a rectangle is 6 times the width. the area is 864 square centimeters. what is the length and width of the rectangle
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
Width=W; Length=L=6W; Area=A=L*W
L%2AW=864+cm%5E2 Substitute for L
6W%2AW=864+cm%5E2Divide each side by 6
W%5E2=144+cm%5E2 Find the square root of each side
W=12+cm ANSWER 1: The width is 12 cm.
L=6W=6(12 cm)=72 cm ANSWER 2: The length is 72 cm.
CHECK:
Area=L*W
864 sq cm=72 cm * 12 cm
864 sq cm=864 sq cm