The pool at your campsite measures 8 meters by 20 meters. It is surrounded by a path of uniform width, as shown in the figure. The area of the pool AND the path combined is 540 square meters. Write and solve an equation to fund the width of the path.

⇒[tex]160 +56 x + 4x^2 = 540\\ \Rightarrow 4x^2+56x-380=0\\ \Rightarrow x^2+14x-95=0\Rightarrow x^2+19x-5x-95=0 \Rightarrow x(x+19)-5(x+19)=0\\ \Rightarrow (x+19)(x-5)=0\\\Rightarrow x=-19 \text{ or } x =5[/tex]

The length cannot be negative. Therefore, the width of the path is 5 m.

The pool at your campsite measures 8 meters by 20 meters. It is surrounded by a path of uniform width, as shown in the figure. The area of the pool AND the path combined is 540 square meters. Write and solve an equation to fund the width of the path.​

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The pool at your campsite measures 8 meters by 20 meters. It is surrounded by a path of uniform width, as shown in the figure. The area of the pool AND the path combined is 540 square meters. Write and solve an equation to fund the width of the path.