The length of a swimming pool is 8m. longer than its width and the area is 105m²
What's the question?
How many kids are in the pool?
What is the water temperature?
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To find the width and length of the swimming pool, we can set up an equation using the given information.
Let's assume the width of the swimming pool is 'x' meters.
According to the given information, the length of the swimming pool is 8 meters longer than its width. So, the length would be 'x + 8' meters.
The area of a rectangle can be calculated by multiplying its length by its width. From the given information, we know that the area is 105 square meters. So, we can set up the equation as follows:
x * (x + 8) = 105
To solve this equation, we can multiply the terms inside the parentheses:
x^2 + 8x = 105
Rearranging the equation to bring all terms to one side:
x^2 + 8x - 105 = 0
Now, we can factorize the equation or solve it using the quadratic formula to find the value of 'x', which represents the width of the swimming pool.