4. The perimeter of rectangular swimming pool is 64m. Its length is 2m
more than twice its breadth. What are the length and breadth of the pool?
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Perimeter of a rectangle:
P = 2L + 2W = 154 meters
L = 2W + 2 Substitute and solve.
2(2W + 2) + 2W = 154 remove parentheses and combine like terms
4W + 4 + 2W = 154
6W + 4 = 154. Subtract 4 from both sides
6W = 150. Divide both sides by 6
W = 25 m
Therefore: L = 2W + 2 = 2(25) + 2 = 52m
check: P = 2(52) + 2(25) = 104 + 50 = 154m OK
Answers: length = 52m width = 25m
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