The perimeter of a rectangular swimming pool is 414 meters. The length of the pool is 7 meters more than four times the width. Find the length and the width.

Length= 167 meters, Width= 40 meters

Step-by-step explanation:

We know that perimeter is the lengths of all sides of the rectangle added together. Therefore, the formula for perimeter is . We can use system of equations to find length and width.

The second equation comes from the fact that the length is 7 meters more than 4 times the width.

Since we know the equation of , we can use substitution to find and .

The problem gives us the perimeter to we can plug that into P.

Now that we know the width, we can plug it into the equation to find length.