The length of a swimming pool is 8 m longer than it's width and the area is 105m²
2 answers:
Answer:
Below
Step-by-step explanation:
The area of the swimming pool is
● A = L × w where L is the length and w is the width
The length is 8 m more than the width L = w + 8
● A = (w+8)×w
● A = w^2 +8w
● 105 = w^2 + 8w
● w^2 + 8w - 105 = 0
This is a quadratic equation.
We will solve by graphing it using a graphing tool
The solutions are the intersection points with the x-axis
We will only take the positive solution since the width can't be negative.
The solution is 7 (picture below)
● w = 7 m
The length is
● L = w + 8
● L = 7 + 8
● L = 15 m
You might be interested in