The length of a rectangular swimming pool is p m and its width is q m. It is given that the length of the swimming pool is twice its width. If the perimeter of the swimming pool is 150 m, find the values of p and q. (**please use the simultaneous linear equations in two variables to solve this question)

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q = 25 m, p = 50 m

Step-by-step explanation:

p is the length, and q is the width.Since the length is twice as long as the width, we can come up with the equation: p = 2qSince the perimeter is 150, we can also come up with this formula since the perimeter is all sides added together: 2p + 2q = 150Since we have two equations, we can just plug them into each other. First, let's substitute the 2q in the second equation with p that is defined in the first equation: 2p + p = 150If we simplify that, we get: 3p = 150Now we know that p = 50 m.Now, if you plug in 50 into the first equation you get: 50 = 2q.Next, just simplify, and you know that q = 25 m.Therefore, p = 50 m, q = 25 m.

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