SOLUTION: A rectangular property has a perimeter of 22km. Fifteen times the length is 40 times the breadth. What is the area?

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Question 954639: A rectangular property has a perimeter of 22km. Fifteen times the length is 40 times the breadth. What is the area?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
L=length; W=width (or breadth); A=area; P=perimeter=22km
15L=40W
L=%2840%2F15%29W=%288%2F3%29W
P=2%28L%2BW%29 Substitute for L
22km=2%28%28%288%2F3%29W%29%2BW%29 Divide each side by 2.
11km=%2811%2F3%29W Multiply each side by 3/11
3km=W The width is 3 kilometers.
15L=40W
15L=40%283km%29
L=120km%2F15
L=8km The length is 8 kilometers.
A=L*W=8km*3km=24 sq km ANSWER: The area is 24 square kilometers.
CHECK:
P=2(L+W)
22km=2(8km+3km)
22km=2(11km)
22km=22km