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Answer :
Final answer:
The equation for the rectangle's length (x metres) and width (y metres) when its perimeter is 44 metres is 2x + 2y = 44. It's calculated from the formula for a rectangle's perimeter, which is 2 times length plus 2 times width.
Explanation:
In the case of a rectangular swimming pool, the formula to calculate the perimeter (P) is given by P = 2l + 2w, where l is the length and w is the width of the rectangle.
Given that the length of the pool is x metres and width is y metres, and the perimeter is 44 metres, we can substitute these values into the formula to create an equation:
2x + 2y = 44
This is the equation needed: for a given x and y, their values need to satisfy this equation to ensure the perimeter remains 44 metres.
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