Question

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)

**if you have answer this question I will choose you to be the brainlest answer** ​

Answer 1

Answer: q = 25 m, p = 50 m

Step-by-step explanation:

1. p is the length, and q is the width.
2. Since the length is twice as long as the width, we can come up with the equation: p = 2q
3. Since the perimeter is 150, we can also come up with this formula since the perimeter is all sides added together: 2p + 2q = 150
4. Since 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 = 150
5. If we simplify that, we get: 3p = 150
6. Now we know that p = 50 m.
7. Now, if you plug in 50 into the first equation you get: 50 = 2q.
8. Next, just simplify, and you know that q = 25 m.
9. Therefore, p = 50 m, q = 25 m.