Answer:
The length is 10 yards and the width is 20 yards of the playground.
Step-by-step explanation:
Given,
Area of the rectangular playground = 200 yards.
Solution,
Let the length of the playground be x.
Then the width of the playground is 2x.
Now, According to the formula of area of rectangle;
[tex]Area\ of\ rectangle =length\times width[/tex]
On substituting the values, we get;
[tex]x\times 2x=200\\\\2x^2=200\\\\x^2=\frac{200}{2}=100\\\\x^2=100\\\\x=\sqrt{100}\\\\x=10\ yards\\[/tex]
So the length of the playground is 10 yards.
Since the width is twice of the length.
So width = [tex]2x=2\times 10=20\ yards[/tex]
Hence the length is 10 yards and the width is 20 yards of the playground.
