SOLUTION: The area of a rectangular card is 128 cm². The length of the card is twice its width. What are the dimensions of the card?

Algebra ->  Surface-area -> SOLUTION: The area of a rectangular card is 128 cm². The length of the card is twice its width. What are the dimensions of the card?      Log On


   



Question 947517: The area of a rectangular card is 128 cm². The length of the card is twice its width. What are the dimensions of the card?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
L=Length=2W; W=Width
Area=A=L*W Substitute for L
A=2W*W
128+sq+cm=2W%5E2 Divide each side by 2
64+sq+cm=W%5E2 Find the square root of each side
8 cm=W ANSWER 1: The width is 8 cm.
L=2W=2(8 cm)=16 cm ANSWER 2: The length is 16 cm.
CHECK
Area is 128 sq cm
A=L*W
128 sq cm=16 cm x 8 cm
128 sq cm=128 sq cm