Answer:
The length of the playground is 10 yards
The width of the playground is 5 yards.
Step-by-step explanation:
Given: The area of a playground is 50 square yards. The length of the playground is 2 times longer than its width.
Area = 50 square yards
Length = 2*width = 2w
Area of the playground = length*width
50 = 2w *w
2w^2 = 50
Dividing both sides by 2, we get
2w^2/2 = 50/2
w^2 = 25
Taking square root on both sides, we get
w = √25
w = 5 yards
Now let's find the length.
Length = 2 * width
= 2*5
length = 10 yards
