Question

The area of a playground is 50 square yards. The length of the playground is 2 times longer than its width. find the length and width of the playground.

Answer 1

length x width = area
width=x
length=2x
2x*x=50
2x^2=50
x^2=25
x=5
width=5
length=2x5=10

Answer 2

The length of the playground is 10 yards

The width of the playground is 5 yards.

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