Problema Solution
What are the dimensions of a rectangular tract of land when its perimeter is 50 kilometers and its area is 150 square kilometers?
Answer provided by our tutors
Let 'x' and 'y' represent the width and the length of the rectangular tract.
The perimeter is 50 km means:
2x + 2y = 50
y = 25 - x
The area is 150 km^2 means:
xy = 150
Plug y = 25 - x into the last equation:
x(25 - x) = 150
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click here to see the equation solved for x
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x1 = 10 km
x2 = 15 km
For x = 10 km we have y = 25 - 10 = 15 km.
For x = 15 km we have y =25 - 15 = 10 km.
The dimensions of the rectangular tract are 10 km and 15 km.